Abstract

We present a study of the fundamental limit of fiber links using dedicated link architecture. We use an experimental arrangement that enables us to detect the forward and backward propagation noise independently and simultaneously in optical fiber and where the optical phase evolution is expected to be driven by the only contribution of the reference arms of the Michelson interferometer ensemble. In this article, we demonstrate indeed the high correlation between the optical phase evolution and the temperature variation of the interferometer ensemble, leading to a frequency offset of $(4.4\pm 2.3)\times 10^{-21}$. Using a simple temperature model and a Bayesian analysis to evaluate the model parameters, we show that the temperature effect can be compensated with post-processing, removing the frequency offset down to $(0.5\pm 2.0)\times 10^{-21}$. The residual slope of the optical phase evolution over 33 days is 350 yoctosecond/s. Using a global temperature parameter, we divide these 33 days dataset in four subsets and analyse their uncertainties. We show that they are self-consistent when the temperature is taken into account. This provides an alternative method to evaluate the accuracy of a fiber link, especially when the dataset includes large dead times. The result is finally interpreted as a test of the reciprocity of the propagation delay in an optical fiber. This unprecedented transfer capability could enable the comparisons of future optical clocks with expected performance at $10^{-20}$ level and open new possibilities for stringent tests of special and general relativity.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Full Article  |  PDF Article
OSA Recommended Articles
Studying the fundamental limit of optical fiber links to the 10−21 level

Dan Xu, Won-Kyu Lee, Fabio Stefani, Olivier Lopez, Anne Amy-Klein, and Paul-Eric Pottie
Opt. Express 26(8) 9515-9527 (2018)

First industrial-grade coherent fiber link for optical frequency standard dissemination

F. Guillou-Camargo, V. Ménoret, E. Cantin, O. Lopez, N. Quintin, E. Camisard, V. Salmon, J.-M. Le Merdy, G. Santarelli, A. Amy-Klein, P.-E. Pottie, B. Desruelle, and C. Chardonnet
Appl. Opt. 57(25) 7203-7210 (2018)

Cascaded optical fiber link using the internet network for remote clocks comparison

Nicola Chiodo, Nicolas Quintin, Fabio Stefani, Fabrice Wiotte, Emilie Camisard, Christian Chardonnet, Giorgio Santarelli, Anne Amy-Klein, Paul-Eric Pottie, and Olivier Lopez
Opt. Express 23(26) 33927-33937 (2015)

References

  • View by:
  • |
  • |
  • |

  1. N. Huntemann, C. Sanner, B. Lipphardt, C. Tamm, and E. Peik, “Single-Ion Atomic Clock with 3$\times$×10$^{-18}$−18 Systematic Uncertainty,” Phys. Rev. Lett. 116(6), 063001 (2016).
    [Crossref]
  2. S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
    [Crossref]
  3. N. Nemitz, T. Ohkubo, M. Takamoto, I. Ushijima, M. Das, N. Ohmae, and H. Katori, “Frequency ratio of Yb and Sr clocks with 5$\times$×10$^{-17}$−17 uncertainty at 150 seconds averaging time,” Nat. Photonics 10(4), 258–261 (2016).
    [Crossref]
  4. M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
    [Crossref]
  5. S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
    [Crossref]
  6. G. E. Marti, R. B. Hutson, A. Goban, S. L. Campbell, N. Poli, and J. Ye, “Imaging Optical Frequencies with 100 $\mu$μHz Precision and 1.1 $\mu$μm Resolution,” Phys. Rev. Lett. 120(10), 103201 (2018).
    [Crossref]
  7. M. S. Safronova, S. G. Porsev, C. Sanner, and J. Ye, “Two Clock Transitions in Neutral Yb for the Highest Sensitivity to Variations of the Fine-Structure Constant,” Phys. Rev. Lett. 120(17), 173001 (2018).
    [Crossref]
  8. C. W. Chou, D. B. Hume, T. Rosenband, and D. J. Wineland, “Optical Clocks and Relativity,” Science 329(5999), 1630–1633 (2010).
    [Crossref]
  9. P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
    [Crossref]
  10. A. D. Ludlow, M. M. Boyd, J. Ye, E. Peik, and P. Schmidt, “Optical atomic clocks,” Rev. Mod. Phys. 87(2), 637–701 (2015).
    [Crossref]
  11. A. Hees, J. Guéna, M. Abgrall, S. Bize, and P. Wolf, “Searching for an Oscillating Massive Scalar Field as a Dark Matter Candidate Using Atomic Hyperfine Frequency Comparisons,” Phys. Rev. Lett. 117(6), 061301 (2016).
    [Crossref]
  12. Y. Stadnik and V. Flambaum, “Can Dark Matter Induce Cosmological Evolution of the Fundamental Constants of Nature?” Phys. Rev. Lett. 115(20), 201301 (2015).
    [Crossref]
  13. T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
    [Crossref]
  14. G. Lion, I. Panet, P. Wolf, C. Guerlin, S. Bize, and P. Delva, “Determination of a high spatial resolution geopotential model using atomic clock comparisons,” J. Geod. 91(6), 597–611 (2017).
    [Crossref]
  15. S. Kolkowitz, I. Pikovski, N. Langellier, M. Lukin, R. Walsworth, and J. Ye, “Gravitational wave detection with optical lattice atomic clocks,” Phys. Rev. D 94(12), 124043 (2016).
    [Crossref]
  16. P. Delva, H. Denker, and G. Lion, “Chronometric geodesy: Methods and applications,” in Relativistic Geodesy, (Springer, 2019).
  17. H. Denker, L. Timmen, C. Voigt, S. Weyers, E. Peik, H. S. Margolis, P. Delva, P. Wolf, and G. Petit, “Geodetic methods to determine the relativistic redshift at the level of 10$^{-18}$−18 in the context of international timescales: a review and practical results,” J. Geod. 92(5), 487–516 (2018).
    [Crossref]
  18. A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
    [Crossref]
  19. A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
    [Crossref]
  20. C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
    [Crossref]
  21. A. Bercy, F. Stefani, O. Lopez, C. Chardonnet, P.-E. Pottie, and A. Amy-Klein, “Two-way optical frequency comparisons at 5$\times$×10$^{-21}$−21 relative stability over 100-km telecommunication network fibers,” Phys. Rev. A 90(6), 061802 (2014).
    [Crossref]
  22. S. M. F. Raupach, A. Koczwara, and G. Grosche, “Brillouin amplification supports 1$\times$×10$^{-20}$−20 uncertainty in optical frequency transfer over 1400 km of underground fiber,” Phys. Rev. A 92(2), 021801 (2015).
    [Crossref]
  23. W.-K. Lee, F. Stefani, A. Bercy, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Hybrid fiber links for accurate optical frequency comparison,” Appl. Phys. B: Lasers Opt. 123(5), 161 (2017).
    [Crossref]
  24. P. A. Williams, W. C. Swann, and N. R. Newbury, “High-stability transfer of an optical frequency over long fiber-optic links,” J. Opt. Soc. Am. B 25(8), 1284–1293 (2008).
    [Crossref]
  25. D. Xu, W.-K. Lee, F. Stefani, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Studying the fundamental limit of optical fiber links to the 10$^{-21}$−21 level,” Opt. Express 26(8), 9515–9527 (2018).
    [Crossref]
  26. K. Kashiwagi, Y. Nakajima, M. Wada, S. Okubo, and H. Inaba, “Multi-branch fiber comb with relative frequency uncertainty at 10$^{-20}$−20 using fiber noise difference cancellation,” Opt. Express 26(7), 8831–8840 (2018).
    [Crossref]
  27. A. Rolland, P. Li, N. Kuse, J. Jiang, M. Cassinerio, C. Langrock, and M. E. Fermann, “Ultra-broadband dual-branch optical frequency comb with 10$^{-18}$−18 instability,” Optica 5(9), 1070–1077 (2018).
    [Crossref]
  28. C. E. Calosso, E. Bertacco, D. Calonico, C. Clivati, G. A. Costanzo, M. Frittelli, F. Levi, A. Mura, and A. Godone, “Frequency transfer via a two-way optical phase comparison on a multiplexed fiber network,” Opt. Lett. 39(5), 1177–1180 (2014).
    [Crossref]
  29. F. Stefani, O. Lopez, A. Bercy, W.-K. Lee, C. Chardonnet, G. Santarelli, P.-E. Pottie, and A. Amy-Klein, “Tackling the limits of optical fiber links,” J. Opt. Soc. Am. B 32(5), 787–797 (2015).
    [Crossref]
  30. J. Goodman and J. Weare, “Ensemble samplers with affine invariance,” Commun. Appl. Math. Comput. Sci. 5(1), 65–80 (2010).
    [Crossref]
  31. P. Gregory, Bayesian Logical Data Analysis for the Physical Sciences (Cambridge University, 2010).
  32. I. Sesia, E. Cantoni, A. Cernigliaro, G. Signorile, G. Fantino, and P. Tavella, “An Efficient and Configurable Preprocessing Algorithm to Improve Stability Analysis,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 63(4), 575–581 (2016).
    [Crossref]
  33. P. Defraigne, N. Guyennon, and C. Bruyninx, “GPS Time and Frequency Transfer: PPP and Phase-Only Analysis,” Int. J. Navig. Obs. 2008, 1–7 (2008).
    [Crossref]
  34. D. Xu, E. Cantin, F. Frank, N. Quintin, F. Meynadier, P. Tuckey, A. Amy-Klein, O. Lopez, and P.-E. Pottie, “Two-branch fiber links for international clock networks,” IEEE Trans. Instrum. Meas. 68(6), 2195–2200 (2019).
    [Crossref]
  35. F. Guillou-Camargo, V. Ménoret, E. Cantin, O. Lopez, N. Quintin, E. Camisard, V. Salmon, J.-M. L. Merdy, G. Santarelli, A. Amy-Klein, P.-E. Pottie, B. Desruelle, and C. Chardonnet, “First industrial-grade coherent fiber link for optical frequency standard dissemination,” Appl. Opt. 57(25), 7203–7210 (2018).
    [Crossref]
  36. J. Geršl, P. Delva, and P. Wolf, “Relativistic corrections for time and frequency transfer in optical fibres,” Metrologia 52(4), 552–564 (2015).
    [Crossref]

2019 (1)

D. Xu, E. Cantin, F. Frank, N. Quintin, F. Meynadier, P. Tuckey, A. Amy-Klein, O. Lopez, and P.-E. Pottie, “Two-branch fiber links for international clock networks,” IEEE Trans. Instrum. Meas. 68(6), 2195–2200 (2019).
[Crossref]

2018 (8)

F. Guillou-Camargo, V. Ménoret, E. Cantin, O. Lopez, N. Quintin, E. Camisard, V. Salmon, J.-M. L. Merdy, G. Santarelli, A. Amy-Klein, P.-E. Pottie, B. Desruelle, and C. Chardonnet, “First industrial-grade coherent fiber link for optical frequency standard dissemination,” Appl. Opt. 57(25), 7203–7210 (2018).
[Crossref]

D. Xu, W.-K. Lee, F. Stefani, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Studying the fundamental limit of optical fiber links to the 10$^{-21}$−21 level,” Opt. Express 26(8), 9515–9527 (2018).
[Crossref]

K. Kashiwagi, Y. Nakajima, M. Wada, S. Okubo, and H. Inaba, “Multi-branch fiber comb with relative frequency uncertainty at 10$^{-20}$−20 using fiber noise difference cancellation,” Opt. Express 26(7), 8831–8840 (2018).
[Crossref]

A. Rolland, P. Li, N. Kuse, J. Jiang, M. Cassinerio, C. Langrock, and M. E. Fermann, “Ultra-broadband dual-branch optical frequency comb with 10$^{-18}$−18 instability,” Optica 5(9), 1070–1077 (2018).
[Crossref]

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

G. E. Marti, R. B. Hutson, A. Goban, S. L. Campbell, N. Poli, and J. Ye, “Imaging Optical Frequencies with 100 $\mu$μHz Precision and 1.1 $\mu$μm Resolution,” Phys. Rev. Lett. 120(10), 103201 (2018).
[Crossref]

M. S. Safronova, S. G. Porsev, C. Sanner, and J. Ye, “Two Clock Transitions in Neutral Yb for the Highest Sensitivity to Variations of the Fine-Structure Constant,” Phys. Rev. Lett. 120(17), 173001 (2018).
[Crossref]

H. Denker, L. Timmen, C. Voigt, S. Weyers, E. Peik, H. S. Margolis, P. Delva, P. Wolf, and G. Petit, “Geodetic methods to determine the relativistic redshift at the level of 10$^{-18}$−18 in the context of international timescales: a review and practical results,” J. Geod. 92(5), 487–516 (2018).
[Crossref]

2017 (5)

G. Lion, I. Panet, P. Wolf, C. Guerlin, S. Bize, and P. Delva, “Determination of a high spatial resolution geopotential model using atomic clock comparisons,” J. Geod. 91(6), 597–611 (2017).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

W.-K. Lee, F. Stefani, A. Bercy, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Hybrid fiber links for accurate optical frequency comparison,” Appl. Phys. B: Lasers Opt. 123(5), 161 (2017).
[Crossref]

2016 (7)

I. Sesia, E. Cantoni, A. Cernigliaro, G. Signorile, G. Fantino, and P. Tavella, “An Efficient and Configurable Preprocessing Algorithm to Improve Stability Analysis,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 63(4), 575–581 (2016).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

N. Nemitz, T. Ohkubo, M. Takamoto, I. Ushijima, M. Das, N. Ohmae, and H. Katori, “Frequency ratio of Yb and Sr clocks with 5$\times$×10$^{-17}$−17 uncertainty at 150 seconds averaging time,” Nat. Photonics 10(4), 258–261 (2016).
[Crossref]

S. Kolkowitz, I. Pikovski, N. Langellier, M. Lukin, R. Walsworth, and J. Ye, “Gravitational wave detection with optical lattice atomic clocks,” Phys. Rev. D 94(12), 124043 (2016).
[Crossref]

A. Hees, J. Guéna, M. Abgrall, S. Bize, and P. Wolf, “Searching for an Oscillating Massive Scalar Field as a Dark Matter Candidate Using Atomic Hyperfine Frequency Comparisons,” Phys. Rev. Lett. 117(6), 061301 (2016).
[Crossref]

N. Huntemann, C. Sanner, B. Lipphardt, C. Tamm, and E. Peik, “Single-Ion Atomic Clock with 3$\times$×10$^{-18}$−18 Systematic Uncertainty,” Phys. Rev. Lett. 116(6), 063001 (2016).
[Crossref]

T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
[Crossref]

2015 (5)

Y. Stadnik and V. Flambaum, “Can Dark Matter Induce Cosmological Evolution of the Fundamental Constants of Nature?” Phys. Rev. Lett. 115(20), 201301 (2015).
[Crossref]

A. D. Ludlow, M. M. Boyd, J. Ye, E. Peik, and P. Schmidt, “Optical atomic clocks,” Rev. Mod. Phys. 87(2), 637–701 (2015).
[Crossref]

S. M. F. Raupach, A. Koczwara, and G. Grosche, “Brillouin amplification supports 1$\times$×10$^{-20}$−20 uncertainty in optical frequency transfer over 1400 km of underground fiber,” Phys. Rev. A 92(2), 021801 (2015).
[Crossref]

J. Geršl, P. Delva, and P. Wolf, “Relativistic corrections for time and frequency transfer in optical fibres,” Metrologia 52(4), 552–564 (2015).
[Crossref]

F. Stefani, O. Lopez, A. Bercy, W.-K. Lee, C. Chardonnet, G. Santarelli, P.-E. Pottie, and A. Amy-Klein, “Tackling the limits of optical fiber links,” J. Opt. Soc. Am. B 32(5), 787–797 (2015).
[Crossref]

2014 (2)

A. Bercy, F. Stefani, O. Lopez, C. Chardonnet, P.-E. Pottie, and A. Amy-Klein, “Two-way optical frequency comparisons at 5$\times$×10$^{-21}$−21 relative stability over 100-km telecommunication network fibers,” Phys. Rev. A 90(6), 061802 (2014).
[Crossref]

C. E. Calosso, E. Bertacco, D. Calonico, C. Clivati, G. A. Costanzo, M. Frittelli, F. Levi, A. Mura, and A. Godone, “Frequency transfer via a two-way optical phase comparison on a multiplexed fiber network,” Opt. Lett. 39(5), 1177–1180 (2014).
[Crossref]

2011 (1)

A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
[Crossref]

2010 (2)

J. Goodman and J. Weare, “Ensemble samplers with affine invariance,” Commun. Appl. Math. Comput. Sci. 5(1), 65–80 (2010).
[Crossref]

C. W. Chou, D. B. Hume, T. Rosenband, and D. J. Wineland, “Optical Clocks and Relativity,” Science 329(5999), 1630–1633 (2010).
[Crossref]

2008 (3)

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

P. A. Williams, W. C. Swann, and N. R. Newbury, “High-stability transfer of an optical frequency over long fiber-optic links,” J. Opt. Soc. Am. B 25(8), 1284–1293 (2008).
[Crossref]

P. Defraigne, N. Guyennon, and C. Bruyninx, “GPS Time and Frequency Transfer: PPP and Phase-Only Analysis,” Int. J. Navig. Obs. 2008, 1–7 (2008).
[Crossref]

Abgrall, M.

A. Hees, J. Guéna, M. Abgrall, S. Bize, and P. Wolf, “Searching for an Oscillating Massive Scalar Field as a Dark Matter Candidate Using Atomic Hyperfine Frequency Comparisons,” Phys. Rev. Lett. 117(6), 061301 (2016).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Akatsuka, T.

T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
[Crossref]

Al-Masoudi, A.

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Amy-Klein, A.

D. Xu, E. Cantin, F. Frank, N. Quintin, F. Meynadier, P. Tuckey, A. Amy-Klein, O. Lopez, and P.-E. Pottie, “Two-branch fiber links for international clock networks,” IEEE Trans. Instrum. Meas. 68(6), 2195–2200 (2019).
[Crossref]

D. Xu, W.-K. Lee, F. Stefani, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Studying the fundamental limit of optical fiber links to the 10$^{-21}$−21 level,” Opt. Express 26(8), 9515–9527 (2018).
[Crossref]

F. Guillou-Camargo, V. Ménoret, E. Cantin, O. Lopez, N. Quintin, E. Camisard, V. Salmon, J.-M. L. Merdy, G. Santarelli, A. Amy-Klein, P.-E. Pottie, B. Desruelle, and C. Chardonnet, “First industrial-grade coherent fiber link for optical frequency standard dissemination,” Appl. Opt. 57(25), 7203–7210 (2018).
[Crossref]

W.-K. Lee, F. Stefani, A. Bercy, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Hybrid fiber links for accurate optical frequency comparison,” Appl. Phys. B: Lasers Opt. 123(5), 161 (2017).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

F. Stefani, O. Lopez, A. Bercy, W.-K. Lee, C. Chardonnet, G. Santarelli, P.-E. Pottie, and A. Amy-Klein, “Tackling the limits of optical fiber links,” J. Opt. Soc. Am. B 32(5), 787–797 (2015).
[Crossref]

A. Bercy, F. Stefani, O. Lopez, C. Chardonnet, P.-E. Pottie, and A. Amy-Klein, “Two-way optical frequency comparisons at 5$\times$×10$^{-21}$−21 relative stability over 100-km telecommunication network fibers,” Phys. Rev. A 90(6), 061802 (2014).
[Crossref]

Barber, Z. W.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Baynes, F.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Beck, K. M.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Beloy, K.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

Bercy, A.

W.-K. Lee, F. Stefani, A. Bercy, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Hybrid fiber links for accurate optical frequency comparison,” Appl. Phys. B: Lasers Opt. 123(5), 161 (2017).
[Crossref]

F. Stefani, O. Lopez, A. Bercy, W.-K. Lee, C. Chardonnet, G. Santarelli, P.-E. Pottie, and A. Amy-Klein, “Tackling the limits of optical fiber links,” J. Opt. Soc. Am. B 32(5), 787–797 (2015).
[Crossref]

A. Bercy, F. Stefani, O. Lopez, C. Chardonnet, P.-E. Pottie, and A. Amy-Klein, “Two-way optical frequency comparisons at 5$\times$×10$^{-21}$−21 relative stability over 100-km telecommunication network fibers,” Phys. Rev. A 90(6), 061802 (2014).
[Crossref]

Bertacco, E.

Bilicki, S.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Bize, S.

G. Lion, I. Panet, P. Wolf, C. Guerlin, S. Bize, and P. Delva, “Determination of a high spatial resolution geopotential model using atomic clock comparisons,” J. Geod. 91(6), 597–611 (2017).
[Crossref]

A. Hees, J. Guéna, M. Abgrall, S. Bize, and P. Wolf, “Searching for an Oscillating Massive Scalar Field as a Dark Matter Candidate Using Atomic Hyperfine Frequency Comparisons,” Phys. Rev. Lett. 117(6), 061301 (2016).
[Crossref]

Blatt, S.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Bloom, B. J.

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

Bongs, K.

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

Bookjans, E.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Bowden, W.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Boyd, M. M.

A. D. Ludlow, M. M. Boyd, J. Ye, E. Peik, and P. Schmidt, “Optical atomic clocks,” Rev. Mod. Phys. 87(2), 637–701 (2015).
[Crossref]

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Brown, R. C.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

Bruyninx, C.

P. Defraigne, N. Guyennon, and C. Bruyninx, “GPS Time and Frequency Transfer: PPP and Phase-Only Analysis,” Int. J. Navig. Obs. 2008, 1–7 (2008).
[Crossref]

Calonico, D.

Calosso, C. E.

Camisard, E.

F. Guillou-Camargo, V. Ménoret, E. Cantin, O. Lopez, N. Quintin, E. Camisard, V. Salmon, J.-M. L. Merdy, G. Santarelli, A. Amy-Klein, P.-E. Pottie, B. Desruelle, and C. Chardonnet, “First industrial-grade coherent fiber link for optical frequency standard dissemination,” Appl. Opt. 57(25), 7203–7210 (2018).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Campbell, G. K.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Campbell, S. L.

G. E. Marti, R. B. Hutson, A. Goban, S. L. Campbell, N. Poli, and J. Ye, “Imaging Optical Frequencies with 100 $\mu$μHz Precision and 1.1 $\mu$μm Resolution,” Phys. Rev. Lett. 120(10), 103201 (2018).
[Crossref]

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

Cantin, E.

D. Xu, E. Cantin, F. Frank, N. Quintin, F. Meynadier, P. Tuckey, A. Amy-Klein, O. Lopez, and P.-E. Pottie, “Two-branch fiber links for international clock networks,” IEEE Trans. Instrum. Meas. 68(6), 2195–2200 (2019).
[Crossref]

F. Guillou-Camargo, V. Ménoret, E. Cantin, O. Lopez, N. Quintin, E. Camisard, V. Salmon, J.-M. L. Merdy, G. Santarelli, A. Amy-Klein, P.-E. Pottie, B. Desruelle, and C. Chardonnet, “First industrial-grade coherent fiber link for optical frequency standard dissemination,” Appl. Opt. 57(25), 7203–7210 (2018).
[Crossref]

Cantoni, E.

I. Sesia, E. Cantoni, A. Cernigliaro, G. Signorile, G. Fantino, and P. Tavella, “An Efficient and Configurable Preprocessing Algorithm to Improve Stability Analysis,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 63(4), 575–581 (2016).
[Crossref]

Cassinerio, M.

Cernigliaro, A.

I. Sesia, E. Cantoni, A. Cernigliaro, G. Signorile, G. Fantino, and P. Tavella, “An Efficient and Configurable Preprocessing Algorithm to Improve Stability Analysis,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 63(4), 575–581 (2016).
[Crossref]

Chardonnet, C.

F. Guillou-Camargo, V. Ménoret, E. Cantin, O. Lopez, N. Quintin, E. Camisard, V. Salmon, J.-M. L. Merdy, G. Santarelli, A. Amy-Klein, P.-E. Pottie, B. Desruelle, and C. Chardonnet, “First industrial-grade coherent fiber link for optical frequency standard dissemination,” Appl. Opt. 57(25), 7203–7210 (2018).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

F. Stefani, O. Lopez, A. Bercy, W.-K. Lee, C. Chardonnet, G. Santarelli, P.-E. Pottie, and A. Amy-Klein, “Tackling the limits of optical fiber links,” J. Opt. Soc. Am. B 32(5), 787–797 (2015).
[Crossref]

A. Bercy, F. Stefani, O. Lopez, C. Chardonnet, P.-E. Pottie, and A. Amy-Klein, “Two-way optical frequency comparisons at 5$\times$×10$^{-21}$−21 relative stability over 100-km telecommunication network fibers,” Phys. Rev. A 90(6), 061802 (2014).
[Crossref]

Chiodo, N.

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Chou, C. W.

C. W. Chou, D. B. Hume, T. Rosenband, and D. J. Wineland, “Optical Clocks and Relativity,” Science 329(5999), 1630–1633 (2010).
[Crossref]

Clivati, C.

Costanzo, G. A.

Darkwah Oppong, N.

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

Das, M.

N. Nemitz, T. Ohkubo, M. Takamoto, I. Ushijima, M. Das, N. Ohmae, and H. Katori, “Frequency ratio of Yb and Sr clocks with 5$\times$×10$^{-17}$−17 uncertainty at 150 seconds averaging time,” Nat. Photonics 10(4), 258–261 (2016).
[Crossref]

de Miranda, M. H. G.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Defraigne, P.

P. Defraigne, N. Guyennon, and C. Bruyninx, “GPS Time and Frequency Transfer: PPP and Phase-Only Analysis,” Int. J. Navig. Obs. 2008, 1–7 (2008).
[Crossref]

Delva, P.

H. Denker, L. Timmen, C. Voigt, S. Weyers, E. Peik, H. S. Margolis, P. Delva, P. Wolf, and G. Petit, “Geodetic methods to determine the relativistic redshift at the level of 10$^{-18}$−18 in the context of international timescales: a review and practical results,” J. Geod. 92(5), 487–516 (2018).
[Crossref]

G. Lion, I. Panet, P. Wolf, C. Guerlin, S. Bize, and P. Delva, “Determination of a high spatial resolution geopotential model using atomic clock comparisons,” J. Geod. 91(6), 597–611 (2017).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

J. Geršl, P. Delva, and P. Wolf, “Relativistic corrections for time and frequency transfer in optical fibres,” Metrologia 52(4), 552–564 (2015).
[Crossref]

P. Delva, H. Denker, and G. Lion, “Chronometric geodesy: Methods and applications,” in Relativistic Geodesy, (Springer, 2019).

Denker, H.

H. Denker, L. Timmen, C. Voigt, S. Weyers, E. Peik, H. S. Margolis, P. Delva, P. Wolf, and G. Petit, “Geodetic methods to determine the relativistic redshift at the level of 10$^{-18}$−18 in the context of international timescales: a review and practical results,” J. Geod. 92(5), 487–516 (2018).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

P. Delva, H. Denker, and G. Lion, “Chronometric geodesy: Methods and applications,” in Relativistic Geodesy, (Springer, 2019).

Desruelle, B.

Diddams, S. A.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Dörscher, S.

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Fantino, G.

I. Sesia, E. Cantoni, A. Cernigliaro, G. Signorile, G. Fantino, and P. Tavella, “An Efficient and Configurable Preprocessing Algorithm to Improve Stability Analysis,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 63(4), 575–581 (2016).
[Crossref]

Fasano, R. J.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

Fermann, M. E.

Flambaum, V.

Y. Stadnik and V. Flambaum, “Can Dark Matter Induce Cosmological Evolution of the Fundamental Constants of Nature?” Phys. Rev. Lett. 115(20), 201301 (2015).
[Crossref]

Foreman, S. M.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Fortier, T. M.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Frank, F.

D. Xu, E. Cantin, F. Frank, N. Quintin, F. Meynadier, P. Tuckey, A. Amy-Klein, O. Lopez, and P.-E. Pottie, “Two-branch fiber links for international clock networks,” IEEE Trans. Instrum. Meas. 68(6), 2195–2200 (2019).
[Crossref]

Frittelli, M.

Fujieda, M.

A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
[Crossref]

Geršl, J.

J. Geršl, P. Delva, and P. Wolf, “Relativistic corrections for time and frequency transfer in optical fibres,” Metrologia 52(4), 552–564 (2015).
[Crossref]

Gill, P.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Goban, A.

G. E. Marti, R. B. Hutson, A. Goban, S. L. Campbell, N. Poli, and J. Ye, “Imaging Optical Frequencies with 100 $\mu$μHz Precision and 1.1 $\mu$μm Resolution,” Phys. Rev. Lett. 120(10), 103201 (2018).
[Crossref]

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

Godone, A.

Goodman, J.

J. Goodman and J. Weare, “Ensemble samplers with affine invariance,” Commun. Appl. Math. Comput. Sci. 5(1), 65–80 (2010).
[Crossref]

Grebing, C.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Gregory, P.

P. Gregory, Bayesian Logical Data Analysis for the Physical Sciences (Cambridge University, 2010).

Grosche, G.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

S. M. F. Raupach, A. Koczwara, and G. Grosche, “Brillouin amplification supports 1$\times$×10$^{-20}$−20 uncertainty in optical frequency transfer over 1400 km of underground fiber,” Phys. Rev. A 92(2), 021801 (2015).
[Crossref]

Guéna, J.

A. Hees, J. Guéna, M. Abgrall, S. Bize, and P. Wolf, “Searching for an Oscillating Massive Scalar Field as a Dark Matter Candidate Using Atomic Hyperfine Frequency Comparisons,” Phys. Rev. Lett. 117(6), 061301 (2016).
[Crossref]

Guerlin, C.

G. Lion, I. Panet, P. Wolf, C. Guerlin, S. Bize, and P. Delva, “Determination of a high spatial resolution geopotential model using atomic clock comparisons,” J. Geod. 91(6), 597–611 (2017).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Guillou-Camargo, F.

Guyennon, N.

P. Defraigne, N. Guyennon, and C. Bruyninx, “GPS Time and Frequency Transfer: PPP and Phase-Only Analysis,” Int. J. Navig. Obs. 2008, 1–7 (2008).
[Crossref]

Hachisu, H.

A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
[Crossref]

Häfner, S.

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Hees, A.

A. Hees, J. Guéna, M. Abgrall, S. Bize, and P. Wolf, “Searching for an Oscillating Massive Scalar Field as a Dark Matter Candidate Using Atomic Hyperfine Frequency Comparisons,” Phys. Rev. Lett. 117(6), 061301 (2016).
[Crossref]

Herbers, S.

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

Hill, I.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Hinkley, N.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

Hobson, R.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Hume, D. B.

C. W. Chou, D. B. Hume, T. Rosenband, and D. J. Wineland, “Optical Clocks and Relativity,” Science 329(5999), 1630–1633 (2010).
[Crossref]

Huntemann, N.

N. Huntemann, C. Sanner, B. Lipphardt, C. Tamm, and E. Peik, “Single-Ion Atomic Clock with 3$\times$×10$^{-18}$−18 Systematic Uncertainty,” Phys. Rev. Lett. 116(6), 063001 (2016).
[Crossref]

Hutson, R. B.

G. E. Marti, R. B. Hutson, A. Goban, S. L. Campbell, N. Poli, and J. Ye, “Imaging Optical Frequencies with 100 $\mu$μHz Precision and 1.1 $\mu$μm Resolution,” Phys. Rev. Lett. 120(10), 103201 (2018).
[Crossref]

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

Ido, T.

A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
[Crossref]

Inaba, H.

Jiang, J.

Kashiwagi, K.

Katori, H.

N. Nemitz, T. Ohkubo, M. Takamoto, I. Ushijima, M. Das, N. Ohmae, and H. Katori, “Frequency ratio of Yb and Sr clocks with 5$\times$×10$^{-17}$−17 uncertainty at 150 seconds averaging time,” Nat. Photonics 10(4), 258–261 (2016).
[Crossref]

T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
[Crossref]

A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
[Crossref]

Koczwara, A.

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

S. M. F. Raupach, A. Koczwara, and G. Grosche, “Brillouin amplification supports 1$\times$×10$^{-20}$−20 uncertainty in optical frequency transfer over 1400 km of underground fiber,” Phys. Rev. A 92(2), 021801 (2015).
[Crossref]

Koke, S.

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Kolkowitz, S.

S. Kolkowitz, I. Pikovski, N. Langellier, M. Lukin, R. Walsworth, and J. Ye, “Gravitational wave detection with optical lattice atomic clocks,” Phys. Rev. D 94(12), 124043 (2016).
[Crossref]

Kronjäger, J.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Kuhl, A.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Kumagai, M.

A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
[Crossref]

Kuroishi, Y.

T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
[Crossref]

Kuse, N.

Langellier, N.

S. Kolkowitz, I. Pikovski, N. Langellier, M. Lukin, R. Walsworth, and J. Ye, “Gravitational wave detection with optical lattice atomic clocks,” Phys. Rev. D 94(12), 124043 (2016).
[Crossref]

Langrock, C.

Le Coq, Y.

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Le Poncin-Lafitte, C.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Le Targat, R.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Lee, W.-K.

D. Xu, W.-K. Lee, F. Stefani, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Studying the fundamental limit of optical fiber links to the 10$^{-21}$−21 level,” Opt. Express 26(8), 9515–9527 (2018).
[Crossref]

W.-K. Lee, F. Stefani, A. Bercy, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Hybrid fiber links for accurate optical frequency comparison,” Appl. Phys. B: Lasers Opt. 123(5), 161 (2017).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

F. Stefani, O. Lopez, A. Bercy, W.-K. Lee, C. Chardonnet, G. Santarelli, P.-E. Pottie, and A. Amy-Klein, “Tackling the limits of optical fiber links,” J. Opt. Soc. Am. B 32(5), 787–797 (2015).
[Crossref]

Legero, T.

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Lemke, N. D.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Levi, F.

Li, P.

Li, Y.

A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
[Crossref]

Lion, G.

G. Lion, I. Panet, P. Wolf, C. Guerlin, S. Bize, and P. Delva, “Determination of a high spatial resolution geopotential model using atomic clock comparisons,” J. Geod. 91(6), 597–611 (2017).
[Crossref]

P. Delva, H. Denker, and G. Lion, “Chronometric geodesy: Methods and applications,” in Relativistic Geodesy, (Springer, 2019).

Lipphardt, B.

N. Huntemann, C. Sanner, B. Lipphardt, C. Tamm, and E. Peik, “Single-Ion Atomic Clock with 3$\times$×10$^{-18}$−18 Systematic Uncertainty,” Phys. Rev. Lett. 116(6), 063001 (2016).
[Crossref]

Lisdat, C.

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Lodewyck, J.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Lopez, O.

D. Xu, E. Cantin, F. Frank, N. Quintin, F. Meynadier, P. Tuckey, A. Amy-Klein, O. Lopez, and P.-E. Pottie, “Two-branch fiber links for international clock networks,” IEEE Trans. Instrum. Meas. 68(6), 2195–2200 (2019).
[Crossref]

D. Xu, W.-K. Lee, F. Stefani, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Studying the fundamental limit of optical fiber links to the 10$^{-21}$−21 level,” Opt. Express 26(8), 9515–9527 (2018).
[Crossref]

F. Guillou-Camargo, V. Ménoret, E. Cantin, O. Lopez, N. Quintin, E. Camisard, V. Salmon, J.-M. L. Merdy, G. Santarelli, A. Amy-Klein, P.-E. Pottie, B. Desruelle, and C. Chardonnet, “First industrial-grade coherent fiber link for optical frequency standard dissemination,” Appl. Opt. 57(25), 7203–7210 (2018).
[Crossref]

W.-K. Lee, F. Stefani, A. Bercy, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Hybrid fiber links for accurate optical frequency comparison,” Appl. Phys. B: Lasers Opt. 123(5), 161 (2017).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

F. Stefani, O. Lopez, A. Bercy, W.-K. Lee, C. Chardonnet, G. Santarelli, P.-E. Pottie, and A. Amy-Klein, “Tackling the limits of optical fiber links,” J. Opt. Soc. Am. B 32(5), 787–797 (2015).
[Crossref]

A. Bercy, F. Stefani, O. Lopez, C. Chardonnet, P.-E. Pottie, and A. Amy-Klein, “Two-way optical frequency comparisons at 5$\times$×10$^{-21}$−21 relative stability over 100-km telecommunication network fibers,” Phys. Rev. A 90(6), 061802 (2014).
[Crossref]

Lours, M.

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Ludlow, A. D.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

A. D. Ludlow, M. M. Boyd, J. Ye, E. Peik, and P. Schmidt, “Optical atomic clocks,” Rev. Mod. Phys. 87(2), 637–701 (2015).
[Crossref]

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Lukin, M.

S. Kolkowitz, I. Pikovski, N. Langellier, M. Lukin, R. Walsworth, and J. Ye, “Gravitational wave detection with optical lattice atomic clocks,” Phys. Rev. D 94(12), 124043 (2016).
[Crossref]

Margolis, H.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Margolis, H. S.

H. Denker, L. Timmen, C. Voigt, S. Weyers, E. Peik, H. S. Margolis, P. Delva, P. Wolf, and G. Petit, “Geodetic methods to determine the relativistic redshift at the level of 10$^{-18}$−18 in the context of international timescales: a review and practical results,” J. Geod. 92(5), 487–516 (2018).
[Crossref]

Marra, G.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Marti, G. E.

G. E. Marti, R. B. Hutson, A. Goban, S. L. Campbell, N. Poli, and J. Ye, “Imaging Optical Frequencies with 100 $\mu$μHz Precision and 1.1 $\mu$μm Resolution,” Phys. Rev. Lett. 120(10), 103201 (2018).
[Crossref]

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

Martin, M. J.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

McGrew, W. F.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

McNally, R. L.

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

Ménoret, V.

Merdy, J.-M. L.

Meynadier, F.

D. Xu, E. Cantin, F. Frank, N. Quintin, F. Meynadier, P. Tuckey, A. Amy-Klein, O. Lopez, and P.-E. Pottie, “Two-branch fiber links for international clock networks,” IEEE Trans. Instrum. Meas. 68(6), 2195–2200 (2019).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Milani, G.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

Miyahara, B.

T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
[Crossref]

Munekane, H.

T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
[Crossref]

Mura, A.

Nagano, S.

A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
[Crossref]

Nakajima, Y.

Nemitz, N.

N. Nemitz, T. Ohkubo, M. Takamoto, I. Ushijima, M. Das, N. Ohmae, and H. Katori, “Frequency ratio of Yb and Sr clocks with 5$\times$×10$^{-17}$−17 uncertainty at 150 seconds averaging time,” Nat. Photonics 10(4), 258–261 (2016).
[Crossref]

Newbury, N. R.

Nicolodi, D.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Oates, C. W.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Ohkubo, T.

N. Nemitz, T. Ohkubo, M. Takamoto, I. Ushijima, M. Das, N. Ohmae, and H. Katori, “Frequency ratio of Yb and Sr clocks with 5$\times$×10$^{-17}$−17 uncertainty at 150 seconds averaging time,” Nat. Photonics 10(4), 258–261 (2016).
[Crossref]

Ohmae, N.

N. Nemitz, T. Ohkubo, M. Takamoto, I. Ushijima, M. Das, N. Ohmae, and H. Katori, “Frequency ratio of Yb and Sr clocks with 5$\times$×10$^{-17}$−17 uncertainty at 150 seconds averaging time,” Nat. Photonics 10(4), 258–261 (2016).
[Crossref]

T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
[Crossref]

Okubo, S.

Origlia, S.

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

Panet, I.

G. Lion, I. Panet, P. Wolf, C. Guerlin, S. Bize, and P. Delva, “Determination of a high spatial resolution geopotential model using atomic clock comparisons,” J. Geod. 91(6), 597–611 (2017).
[Crossref]

Peik, E.

H. Denker, L. Timmen, C. Voigt, S. Weyers, E. Peik, H. S. Margolis, P. Delva, P. Wolf, and G. Petit, “Geodetic methods to determine the relativistic redshift at the level of 10$^{-18}$−18 in the context of international timescales: a review and practical results,” J. Geod. 92(5), 487–516 (2018).
[Crossref]

N. Huntemann, C. Sanner, B. Lipphardt, C. Tamm, and E. Peik, “Single-Ion Atomic Clock with 3$\times$×10$^{-18}$−18 Systematic Uncertainty,” Phys. Rev. Lett. 116(6), 063001 (2016).
[Crossref]

A. D. Ludlow, M. M. Boyd, J. Ye, E. Peik, and P. Schmidt, “Optical atomic clocks,” Rev. Mod. Phys. 87(2), 637–701 (2015).
[Crossref]

Petit, G.

H. Denker, L. Timmen, C. Voigt, S. Weyers, E. Peik, H. S. Margolis, P. Delva, P. Wolf, and G. Petit, “Geodetic methods to determine the relativistic redshift at the level of 10$^{-18}$−18 in the context of international timescales: a review and practical results,” J. Geod. 92(5), 487–516 (2018).
[Crossref]

Phillips, N. B.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

Pikovski, I.

S. Kolkowitz, I. Pikovski, N. Langellier, M. Lukin, R. Walsworth, and J. Ye, “Gravitational wave detection with optical lattice atomic clocks,” Phys. Rev. D 94(12), 124043 (2016).
[Crossref]

Poli, N.

G. E. Marti, R. B. Hutson, A. Goban, S. L. Campbell, N. Poli, and J. Ye, “Imaging Optical Frequencies with 100 $\mu$μHz Precision and 1.1 $\mu$μm Resolution,” Phys. Rev. Lett. 120(10), 103201 (2018).
[Crossref]

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Porsev, S. G.

M. S. Safronova, S. G. Porsev, C. Sanner, and J. Ye, “Two Clock Transitions in Neutral Yb for the Highest Sensitivity to Variations of the Fine-Structure Constant,” Phys. Rev. Lett. 120(17), 173001 (2018).
[Crossref]

Pottie, P.-E.

D. Xu, E. Cantin, F. Frank, N. Quintin, F. Meynadier, P. Tuckey, A. Amy-Klein, O. Lopez, and P.-E. Pottie, “Two-branch fiber links for international clock networks,” IEEE Trans. Instrum. Meas. 68(6), 2195–2200 (2019).
[Crossref]

D. Xu, W.-K. Lee, F. Stefani, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Studying the fundamental limit of optical fiber links to the 10$^{-21}$−21 level,” Opt. Express 26(8), 9515–9527 (2018).
[Crossref]

F. Guillou-Camargo, V. Ménoret, E. Cantin, O. Lopez, N. Quintin, E. Camisard, V. Salmon, J.-M. L. Merdy, G. Santarelli, A. Amy-Klein, P.-E. Pottie, B. Desruelle, and C. Chardonnet, “First industrial-grade coherent fiber link for optical frequency standard dissemination,” Appl. Opt. 57(25), 7203–7210 (2018).
[Crossref]

W.-K. Lee, F. Stefani, A. Bercy, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Hybrid fiber links for accurate optical frequency comparison,” Appl. Phys. B: Lasers Opt. 123(5), 161 (2017).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

F. Stefani, O. Lopez, A. Bercy, W.-K. Lee, C. Chardonnet, G. Santarelli, P.-E. Pottie, and A. Amy-Klein, “Tackling the limits of optical fiber links,” J. Opt. Soc. Am. B 32(5), 787–797 (2015).
[Crossref]

A. Bercy, F. Stefani, O. Lopez, C. Chardonnet, P.-E. Pottie, and A. Amy-Klein, “Two-way optical frequency comparisons at 5$\times$×10$^{-21}$−21 relative stability over 100-km telecommunication network fibers,” Phys. Rev. A 90(6), 061802 (2014).
[Crossref]

Pramod, M. S.

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

Quintin, N.

D. Xu, E. Cantin, F. Frank, N. Quintin, F. Meynadier, P. Tuckey, A. Amy-Klein, O. Lopez, and P.-E. Pottie, “Two-branch fiber links for international clock networks,” IEEE Trans. Instrum. Meas. 68(6), 2195–2200 (2019).
[Crossref]

F. Guillou-Camargo, V. Ménoret, E. Cantin, O. Lopez, N. Quintin, E. Camisard, V. Salmon, J.-M. L. Merdy, G. Santarelli, A. Amy-Klein, P.-E. Pottie, B. Desruelle, and C. Chardonnet, “First industrial-grade coherent fiber link for optical frequency standard dissemination,” Appl. Opt. 57(25), 7203–7210 (2018).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Raupach, S.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Raupach, S. M. F.

S. M. F. Raupach, A. Koczwara, and G. Grosche, “Brillouin amplification supports 1$\times$×10$^{-20}$−20 uncertainty in optical frequency transfer over 1400 km of underground fiber,” Phys. Rev. A 92(2), 021801 (2015).
[Crossref]

Robinson, J. M.

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

Robyr, J.-L.

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Rolland, A.

A. Rolland, P. Li, N. Kuse, J. Jiang, M. Cassinerio, C. Langrock, and M. E. Fermann, “Ultra-broadband dual-branch optical frequency comb with 10$^{-18}$−18 instability,” Optica 5(9), 1070–1077 (2018).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Rosenband, T.

C. W. Chou, D. B. Hume, T. Rosenband, and D. J. Wineland, “Optical Clocks and Relativity,” Science 329(5999), 1630–1633 (2010).
[Crossref]

Safronova, M. S.

M. S. Safronova, S. G. Porsev, C. Sanner, and J. Ye, “Two Clock Transitions in Neutral Yb for the Highest Sensitivity to Variations of the Fine-Structure Constant,” Phys. Rev. Lett. 120(17), 173001 (2018).
[Crossref]

Salmon, V.

Sanner, C.

M. S. Safronova, S. G. Porsev, C. Sanner, and J. Ye, “Two Clock Transitions in Neutral Yb for the Highest Sensitivity to Variations of the Fine-Structure Constant,” Phys. Rev. Lett. 120(17), 173001 (2018).
[Crossref]

N. Huntemann, C. Sanner, B. Lipphardt, C. Tamm, and E. Peik, “Single-Ion Atomic Clock with 3$\times$×10$^{-18}$−18 Systematic Uncertainty,” Phys. Rev. Lett. 116(6), 063001 (2016).
[Crossref]

Santarelli, G.

F. Guillou-Camargo, V. Ménoret, E. Cantin, O. Lopez, N. Quintin, E. Camisard, V. Salmon, J.-M. L. Merdy, G. Santarelli, A. Amy-Klein, P.-E. Pottie, B. Desruelle, and C. Chardonnet, “First industrial-grade coherent fiber link for optical frequency standard dissemination,” Appl. Opt. 57(25), 7203–7210 (2018).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

F. Stefani, O. Lopez, A. Bercy, W.-K. Lee, C. Chardonnet, G. Santarelli, P.-E. Pottie, and A. Amy-Klein, “Tackling the limits of optical fiber links,” J. Opt. Soc. Am. B 32(5), 787–797 (2015).
[Crossref]

Schiller, S.

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

Schioppo, M.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

Schmidt, P.

A. D. Ludlow, M. M. Boyd, J. Ye, E. Peik, and P. Schmidt, “Optical atomic clocks,” Rev. Mod. Phys. 87(2), 637–701 (2015).
[Crossref]

Schnatz, H.

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Schwarz, R.

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

Sesia, I.

I. Sesia, E. Cantoni, A. Cernigliaro, G. Signorile, G. Fantino, and P. Tavella, “An Efficient and Configurable Preprocessing Algorithm to Improve Stability Analysis,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 63(4), 575–581 (2016).
[Crossref]

Sherman, J. A.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

Shi, C.

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Signorile, G.

I. Sesia, E. Cantoni, A. Cernigliaro, G. Signorile, G. Fantino, and P. Tavella, “An Efficient and Configurable Preprocessing Algorithm to Improve Stability Analysis,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 63(4), 575–581 (2016).
[Crossref]

Singh, Y.

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

Sonderhouse, L.

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

Stadnik, Y.

Y. Stadnik and V. Flambaum, “Can Dark Matter Induce Cosmological Evolution of the Fundamental Constants of Nature?” Phys. Rev. Lett. 115(20), 201301 (2015).
[Crossref]

Stalnaker, J. E.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Stefani, F.

D. Xu, W.-K. Lee, F. Stefani, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Studying the fundamental limit of optical fiber links to the 10$^{-21}$−21 level,” Opt. Express 26(8), 9515–9527 (2018).
[Crossref]

W.-K. Lee, F. Stefani, A. Bercy, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Hybrid fiber links for accurate optical frequency comparison,” Appl. Phys. B: Lasers Opt. 123(5), 161 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

F. Stefani, O. Lopez, A. Bercy, W.-K. Lee, C. Chardonnet, G. Santarelli, P.-E. Pottie, and A. Amy-Klein, “Tackling the limits of optical fiber links,” J. Opt. Soc. Am. B 32(5), 787–797 (2015).
[Crossref]

A. Bercy, F. Stefani, O. Lopez, C. Chardonnet, P.-E. Pottie, and A. Amy-Klein, “Two-way optical frequency comparisons at 5$\times$×10$^{-21}$−21 relative stability over 100-km telecommunication network fibers,” Phys. Rev. A 90(6), 061802 (2014).
[Crossref]

Sterr, U.

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Swann, W. C.

Takamoto, M.

T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
[Crossref]

N. Nemitz, T. Ohkubo, M. Takamoto, I. Ushijima, M. Das, N. Ohmae, and H. Katori, “Frequency ratio of Yb and Sr clocks with 5$\times$×10$^{-17}$−17 uncertainty at 150 seconds averaging time,” Nat. Photonics 10(4), 258–261 (2016).
[Crossref]

A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
[Crossref]

Takano, T.

T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
[Crossref]

A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
[Crossref]

Tamm, C.

N. Huntemann, C. Sanner, B. Lipphardt, C. Tamm, and E. Peik, “Single-Ion Atomic Clock with 3$\times$×10$^{-18}$−18 Systematic Uncertainty,” Phys. Rev. Lett. 116(6), 063001 (2016).
[Crossref]

Tavella, P.

I. Sesia, E. Cantoni, A. Cernigliaro, G. Signorile, G. Fantino, and P. Tavella, “An Efficient and Configurable Preprocessing Algorithm to Improve Stability Analysis,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 63(4), 575–581 (2016).
[Crossref]

Thomsen, J. W.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Timmen, L.

H. Denker, L. Timmen, C. Voigt, S. Weyers, E. Peik, H. S. Margolis, P. Delva, P. Wolf, and G. Petit, “Geodetic methods to determine the relativistic redshift at the level of 10$^{-18}$−18 in the context of international timescales: a review and practical results,” J. Geod. 92(5), 487–516 (2018).
[Crossref]

Tuckey, P.

D. Xu, E. Cantin, F. Frank, N. Quintin, F. Meynadier, P. Tuckey, A. Amy-Klein, O. Lopez, and P.-E. Pottie, “Two-branch fiber links for international clock networks,” IEEE Trans. Instrum. Meas. 68(6), 2195–2200 (2019).
[Crossref]

Ushijima, I.

T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
[Crossref]

N. Nemitz, T. Ohkubo, M. Takamoto, I. Ushijima, M. Das, N. Ohmae, and H. Katori, “Frequency ratio of Yb and Sr clocks with 5$\times$×10$^{-17}$−17 uncertainty at 150 seconds averaging time,” Nat. Photonics 10(4), 258–261 (2016).
[Crossref]

Vallet, G.

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Voigt, C.

H. Denker, L. Timmen, C. Voigt, S. Weyers, E. Peik, H. S. Margolis, P. Delva, P. Wolf, and G. Petit, “Geodetic methods to determine the relativistic redshift at the level of 10$^{-18}$−18 in the context of international timescales: a review and practical results,” J. Geod. 92(5), 487–516 (2018).
[Crossref]

Wada, M.

Walsworth, R.

S. Kolkowitz, I. Pikovski, N. Langellier, M. Lukin, R. Walsworth, and J. Ye, “Gravitational wave detection with optical lattice atomic clocks,” Phys. Rev. D 94(12), 124043 (2016).
[Crossref]

Weare, J.

J. Goodman and J. Weare, “Ensemble samplers with affine invariance,” Commun. Appl. Math. Comput. Sci. 5(1), 65–80 (2010).
[Crossref]

Weyers, S.

H. Denker, L. Timmen, C. Voigt, S. Weyers, E. Peik, H. S. Margolis, P. Delva, P. Wolf, and G. Petit, “Geodetic methods to determine the relativistic redshift at the level of 10$^{-18}$−18 in the context of international timescales: a review and practical results,” J. Geod. 92(5), 487–516 (2018).
[Crossref]

Williams, P. A.

Wineland, D. J.

C. W. Chou, D. B. Hume, T. Rosenband, and D. J. Wineland, “Optical Clocks and Relativity,” Science 329(5999), 1630–1633 (2010).
[Crossref]

Wiotte, F.

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Wolf, P.

H. Denker, L. Timmen, C. Voigt, S. Weyers, E. Peik, H. S. Margolis, P. Delva, P. Wolf, and G. Petit, “Geodetic methods to determine the relativistic redshift at the level of 10$^{-18}$−18 in the context of international timescales: a review and practical results,” J. Geod. 92(5), 487–516 (2018).
[Crossref]

G. Lion, I. Panet, P. Wolf, C. Guerlin, S. Bize, and P. Delva, “Determination of a high spatial resolution geopotential model using atomic clock comparisons,” J. Geod. 91(6), 597–611 (2017).
[Crossref]

A. Hees, J. Guéna, M. Abgrall, S. Bize, and P. Wolf, “Searching for an Oscillating Massive Scalar Field as a Dark Matter Candidate Using Atomic Hyperfine Frequency Comparisons,” Phys. Rev. Lett. 117(6), 061301 (2016).
[Crossref]

J. Geršl, P. Delva, and P. Wolf, “Relativistic corrections for time and frequency transfer in optical fibres,” Metrologia 52(4), 552–564 (2015).
[Crossref]

Xu, D.

D. Xu, E. Cantin, F. Frank, N. Quintin, F. Meynadier, P. Tuckey, A. Amy-Klein, O. Lopez, and P.-E. Pottie, “Two-branch fiber links for international clock networks,” IEEE Trans. Instrum. Meas. 68(6), 2195–2200 (2019).
[Crossref]

D. Xu, W.-K. Lee, F. Stefani, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Studying the fundamental limit of optical fiber links to the 10$^{-21}$−21 level,” Opt. Express 26(8), 9515–9527 (2018).
[Crossref]

Yamaguchi, A.

T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
[Crossref]

A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
[Crossref]

Ye, J.

M. S. Safronova, S. G. Porsev, C. Sanner, and J. Ye, “Two Clock Transitions in Neutral Yb for the Highest Sensitivity to Variations of the Fine-Structure Constant,” Phys. Rev. Lett. 120(17), 173001 (2018).
[Crossref]

G. E. Marti, R. B. Hutson, A. Goban, S. L. Campbell, N. Poli, and J. Ye, “Imaging Optical Frequencies with 100 $\mu$μHz Precision and 1.1 $\mu$μm Resolution,” Phys. Rev. Lett. 120(10), 103201 (2018).
[Crossref]

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

S. Kolkowitz, I. Pikovski, N. Langellier, M. Lukin, R. Walsworth, and J. Ye, “Gravitational wave detection with optical lattice atomic clocks,” Phys. Rev. D 94(12), 124043 (2016).
[Crossref]

A. D. Ludlow, M. M. Boyd, J. Ye, E. Peik, and P. Schmidt, “Optical atomic clocks,” Rev. Mod. Phys. 87(2), 637–701 (2015).
[Crossref]

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Yoon, T. H.

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

Zelevinsky, T.

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Zhang, W.

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

Appl. Opt. (1)

Appl. Phys. B: Lasers Opt. (1)

W.-K. Lee, F. Stefani, A. Bercy, O. Lopez, A. Amy-Klein, and P.-E. Pottie, “Hybrid fiber links for accurate optical frequency comparison,” Appl. Phys. B: Lasers Opt. 123(5), 161 (2017).
[Crossref]

Appl. Phys. Express (1)

A. Yamaguchi, M. Fujieda, M. Kumagai, H. Hachisu, S. Nagano, Y. Li, T. Ido, T. Takano, M. Takamoto, and H. Katori, “Direct Comparison of Distant Optical Lattice Clocks at the 10$^{-16}$−16 Uncertainty,” Appl. Phys. Express 4(8), 082203 (2011).
[Crossref]

Commun. Appl. Math. Comput. Sci. (1)

J. Goodman and J. Weare, “Ensemble samplers with affine invariance,” Commun. Appl. Math. Comput. Sci. 5(1), 65–80 (2010).
[Crossref]

IEEE Trans. Instrum. Meas. (1)

D. Xu, E. Cantin, F. Frank, N. Quintin, F. Meynadier, P. Tuckey, A. Amy-Klein, O. Lopez, and P.-E. Pottie, “Two-branch fiber links for international clock networks,” IEEE Trans. Instrum. Meas. 68(6), 2195–2200 (2019).
[Crossref]

IEEE Trans. Ultrason. Ferroelectr. Freq. Control. (1)

I. Sesia, E. Cantoni, A. Cernigliaro, G. Signorile, G. Fantino, and P. Tavella, “An Efficient and Configurable Preprocessing Algorithm to Improve Stability Analysis,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 63(4), 575–581 (2016).
[Crossref]

Int. J. Navig. Obs. (1)

P. Defraigne, N. Guyennon, and C. Bruyninx, “GPS Time and Frequency Transfer: PPP and Phase-Only Analysis,” Int. J. Navig. Obs. 2008, 1–7 (2008).
[Crossref]

J. Geod. (2)

H. Denker, L. Timmen, C. Voigt, S. Weyers, E. Peik, H. S. Margolis, P. Delva, P. Wolf, and G. Petit, “Geodetic methods to determine the relativistic redshift at the level of 10$^{-18}$−18 in the context of international timescales: a review and practical results,” J. Geod. 92(5), 487–516 (2018).
[Crossref]

G. Lion, I. Panet, P. Wolf, C. Guerlin, S. Bize, and P. Delva, “Determination of a high spatial resolution geopotential model using atomic clock comparisons,” J. Geod. 91(6), 597–611 (2017).
[Crossref]

J. Opt. Soc. Am. B (2)

Metrologia (1)

J. Geršl, P. Delva, and P. Wolf, “Relativistic corrections for time and frequency transfer in optical fibres,” Metrologia 52(4), 552–564 (2015).
[Crossref]

Nat. Commun. (1)

C. Lisdat, G. Grosche, N. Quintin, C. Shi, S. Raupach, C. Grebing, D. Nicolodi, F. Stefani, A. Al-Masoudi, S. Dörscher, S. Häfner, J.-L. Robyr, N. Chiodo, S. Bilicki, E. Bookjans, A. Koczwara, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, M. Abgrall, M. Lours, T. Legero, H. Schnatz, U. Sterr, H. Denker, C. Chardonnet, Y. Le Coq, G. Santarelli, A. Amy-Klein, R. Le Targat, J. Lodewyck, O. Lopez, and P.-E. Pottie, “A clock network for geodesy and fundamental science,” Nat. Commun. 7(1), 12443 (2016).
[Crossref]

Nat. Photonics (3)

N. Nemitz, T. Ohkubo, M. Takamoto, I. Ushijima, M. Das, N. Ohmae, and H. Katori, “Frequency ratio of Yb and Sr clocks with 5$\times$×10$^{-17}$−17 uncertainty at 150 seconds averaging time,” Nat. Photonics 10(4), 258–261 (2016).
[Crossref]

M. Schioppo, R. C. Brown, W. F. McGrew, N. Hinkley, R. J. Fasano, K. Beloy, T. H. Yoon, G. Milani, D. Nicolodi, J. A. Sherman, N. B. Phillips, C. W. Oates, and A. D. Ludlow, “Ultrastable optical clock with two cold-atom ensembles,” Nat. Photonics 11(1), 48–52 (2017).
[Crossref]

T. Takano, M. Takamoto, I. Ushijima, N. Ohmae, T. Akatsuka, A. Yamaguchi, Y. Kuroishi, H. Munekane, B. Miyahara, and H. Katori, “Geopotential measurements with synchronously linked optical lattice clocks,” Nat. Photonics 10(10), 662–666 (2016).
[Crossref]

Opt. Express (2)

Opt. Lett. (1)

Optica (1)

Phys. Rev. A (3)

S. Origlia, M. S. Pramod, S. Schiller, Y. Singh, K. Bongs, R. Schwarz, A. Al-Masoudi, S. Dörscher, S. Herbers, S. Häfner, U. Sterr, and C. Lisdat, “Towards an optical clock for space: Compact, high-performance optical lattice clock based on bosonic atoms,” Phys. Rev. A 98(5), 053443 (2018).
[Crossref]

A. Bercy, F. Stefani, O. Lopez, C. Chardonnet, P.-E. Pottie, and A. Amy-Klein, “Two-way optical frequency comparisons at 5$\times$×10$^{-21}$−21 relative stability over 100-km telecommunication network fibers,” Phys. Rev. A 90(6), 061802 (2014).
[Crossref]

S. M. F. Raupach, A. Koczwara, and G. Grosche, “Brillouin amplification supports 1$\times$×10$^{-20}$−20 uncertainty in optical frequency transfer over 1400 km of underground fiber,” Phys. Rev. A 92(2), 021801 (2015).
[Crossref]

Phys. Rev. D (1)

S. Kolkowitz, I. Pikovski, N. Langellier, M. Lukin, R. Walsworth, and J. Ye, “Gravitational wave detection with optical lattice atomic clocks,” Phys. Rev. D 94(12), 124043 (2016).
[Crossref]

Phys. Rev. Lett. (6)

A. Hees, J. Guéna, M. Abgrall, S. Bize, and P. Wolf, “Searching for an Oscillating Massive Scalar Field as a Dark Matter Candidate Using Atomic Hyperfine Frequency Comparisons,” Phys. Rev. Lett. 117(6), 061301 (2016).
[Crossref]

Y. Stadnik and V. Flambaum, “Can Dark Matter Induce Cosmological Evolution of the Fundamental Constants of Nature?” Phys. Rev. Lett. 115(20), 201301 (2015).
[Crossref]

N. Huntemann, C. Sanner, B. Lipphardt, C. Tamm, and E. Peik, “Single-Ion Atomic Clock with 3$\times$×10$^{-18}$−18 Systematic Uncertainty,” Phys. Rev. Lett. 116(6), 063001 (2016).
[Crossref]

G. E. Marti, R. B. Hutson, A. Goban, S. L. Campbell, N. Poli, and J. Ye, “Imaging Optical Frequencies with 100 $\mu$μHz Precision and 1.1 $\mu$μm Resolution,” Phys. Rev. Lett. 120(10), 103201 (2018).
[Crossref]

M. S. Safronova, S. G. Porsev, C. Sanner, and J. Ye, “Two Clock Transitions in Neutral Yb for the Highest Sensitivity to Variations of the Fine-Structure Constant,” Phys. Rev. Lett. 120(17), 173001 (2018).
[Crossref]

P. Delva, J. Lodewyck, S. Bilicki, E. Bookjans, G. Vallet, R. Le Targat, P.-E. Pottie, C. Guerlin, F. Meynadier, C. Le Poncin-Lafitte, O. Lopez, A. Amy-Klein, W.-K. Lee, N. Quintin, C. Lisdat, A. Al-Masoudi, S. Dörscher, C. Grebing, G. Grosche, A. Kuhl, S. Raupach, U. Sterr, I. Hill, R. Hobson, W. Bowden, J. Kronjäger, G. Marra, A. Rolland, F. Baynes, H. Margolis, and P. Gill, “Test of Special Relativity Using a Fiber Network of Optical Clocks,” Phys. Rev. Lett. 118(22), 221102 (2017).
[Crossref]

Rev. Mod. Phys. (1)

A. D. Ludlow, M. M. Boyd, J. Ye, E. Peik, and P. Schmidt, “Optical atomic clocks,” Rev. Mod. Phys. 87(2), 637–701 (2015).
[Crossref]

Science (3)

C. W. Chou, D. B. Hume, T. Rosenband, and D. J. Wineland, “Optical Clocks and Relativity,” Science 329(5999), 1630–1633 (2010).
[Crossref]

S. L. Campbell, R. B. Hutson, G. E. Marti, A. Goban, N. Darkwah Oppong, R. L. McNally, L. Sonderhouse, J. M. Robinson, W. Zhang, B. J. Bloom, and J. Ye, “A Fermi-degenerate three-dimensional optical lattice clock,” Science 358(6359), 90–94 (2017).
[Crossref]

A. D. Ludlow, T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, J. Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, “Sr Lattice Clock at 1$\times$×10$^{-16}$−16 Fractional Uncertainty by Remote Optical Evaluation with a Ca Clock,” Science 319(5871), 1805–1808 (2008).
[Crossref]

Other (2)

P. Gregory, Bayesian Logical Data Analysis for the Physical Sciences (Cambridge University, 2010).

P. Delva, H. Denker, and G. Lion, “Chronometric geodesy: Methods and applications,” in Relativistic Geodesy, (Springer, 2019).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (7)

Fig. 1.
Fig. 1. Experimental scheme of the hybrid fiber link. AOM, acousto-optic modulator; PD, photodiode; PLL, phase-locked loop; bi-EDFA, bi-directional erbium-doped fiber amplifier; p-FM, partial Faraday mirror; PC, polarization controller. The laser and the interferometers are housed in a thermal and acoustic isolation box for passive stabilization.
Fig. 2.
Fig. 2. Phase evolution of the two-way bi-directional (TWB) observable $\phi _{\textrm {TWB}}$ (red solid line) and interferometric noise $\phi _{\textrm {Inter}}$ (black dashed line), with 1-s gate time.
Fig. 3.
Fig. 3. Power spectral densities (PSD) of fractional frequency for noise floor (gray), the bi-directional two-way observable $y_{\textrm {TWB}}$ (red), the model (green) and residuals after correction $y_{\textrm {TWB\_corr}}$ (blue).
Fig. 4.
Fig. 4. Four data subsets. (a) Filtered fractional frequency, (b) phase evolution of TWB without temperature correction and with temperature correction (blue).
Fig. 5.
Fig. 5. One- and two-dimensional projections of posterior distribution of the estimated model parameters with 1-, 2- and 3-$\sigma$ contours, corresponding to the fit of the two-way bi-directional (TWB) frequency data, using affine invariant ensemble Markov Chain Monte Carlo (MCMC) method [30].
Fig. 6.
Fig. 6. Modified Allan deviation (MDEV) of the bi-directional two-way observable, before post-processing (red circle) and after post-processing (blue square), and one-way free-running fiber noise (gray star).
Fig. 7.
Fig. 7. The four subsets frequency offsets $\mu _i$ from Table 1 are shown with colors corresponding to Fig. 4. The grey thick line is centered on the $\mu _i$ weighted average with thickness corresponding to the weighted uncertainty. (a) Without temperature model, (b) with temperature model.

Tables (1)

Tables Icon

Table 1. Fitting results using the affine invariant Markov Chain Monte Carlo ensemble sampler (MCMC) method. All parameters are dimensionless except for α T in d K 1 .

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

y TWB ( t ) = y T + μ i + ϵ
y T = α T d T d t

Metrics