Abstract

The field redistribution inside an X-ray cavity-QED setup with an embedded 57Fe layer is calculated and studied in detail. The destructive interference between two transitions from the ground state to the two upper dressed states causes that the cavity mode can not be driven. So the field intensity is very weak when the nuclear ensemble is resonant. Moreover, It is found that the resonant nuclear layer can play a role of reflective layer like a mirror and cut the size of the cavity, which will destroy the guided mode. To support this idea, we employ the 57Fe film as the bottom mirror layer of the cavity where a guided mode can only be formed at the resonant energy. Following this perspective, the electromagnetically induced transparency structure based on X-ray cavity-QED setup with nuclear ensemble is reviewed and a phenomenologically self-consistent analysis for the field redistribution is presented.

© 2017 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Full Article  |  PDF Article
OSA Recommended Articles
Spacing-dependent electromagnetically induced transparency with two nuclear ensembles inside an x-ray planar cavity

Xin-Chao Huang, Zi-Ru Ma, Xiang-Jin Kong, Wen-Bin Li, and Lin-Fan Zhu
J. Opt. Soc. Am. B 37(3) 745-755 (2020)

Low-radiation-damage multilayer coatings for the soft-x-ray region

W. R. Hunter and J. F. Seely
Appl. Opt. 32(25) 4846-4851 (1993)

Goos-Hänchen effect observed for focused x-ray beams under resonant mode excitation

Qi Zhong, Lars Melchior, Jichang Peng, Qiushi Huang, Zhanshan Wang, and Tim Salditt
Opt. Express 25(15) 17431-17445 (2017)

References

  • View by:
  • |
  • |
  • |

  1. B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
    [Crossref]
  2. C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
    [Crossref]
  3. S. Shwartz, R. N. Coffee, J. M. Feldkamp, Y. Feng, J. B. Hastings, G. Y. Yin, and S. E. Harris, “X-ray parametric down-conversion in the Langevin regime,” Phys. Rev. Lett. 109, 013602 (2012).
    [Crossref] [PubMed]
  4. R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, “Collective Lamb shift in single-photon superradiance,” Science 328, 1248–1251 (2010).
    [Crossref] [PubMed]
  5. R. Röhlsberger, H. C. Wille, K. Schlage, and B. Sahoo, “Electromagnetically induced transparency with resonant nuclei in a cavity,” Nature 482, 199–203 (2012).
    [Crossref] [PubMed]
  6. K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
    [Crossref]
  7. K. P. Heeg, C. Ott, D. Schumacher, H. C. Wille, R. Röhlsberger, T. Pfeifer, and J. Evers, “Interferometric phase detection at x-ray energies via Fano resonance control,” Phys. Rev. Lett. 114, 207401 (2015).
    [Crossref] [PubMed]
  8. K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
    [Crossref] [PubMed]
  9. J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
    [Crossref]
  10. F. Vagizov, V. Antonov, V. Y. Radeonychev, N. R. Shakhmuratov, and O. Kocharovskaya, “Coherent control of the waveforms of recoilless γ-ray photons,” Nature 508, 80 (2014).
    [Crossref] [PubMed]
  11. X. Kong and A. Pälffy, “Stopping narrow-band x-ray pulses in nuclear media,” Phys. Rev. Lett. 116, 197402 (2016).
    [Crossref] [PubMed]
  12. X. Kong and A. Pälffy, “Collective radiation spectrum for ensembles with Zeeman splitting in single-photon superradiance,” Phys. Rev. A 96, 033819 (2017).
    [Crossref]
  13. W. T. Liao, A. Pälffy, and C. H. Keitel, “Coherent storage and phase modulation of single hard-x-ray photons using nuclear excitons,” Phys. Rev. Lett. 109, 197403 (2012).
    [Crossref] [PubMed]
  14. W. T. Liao and A. Pälffy, “Proposed entanglement of x-ray nuclear polaritons as a potential method for probing matter at the subatomic scale,” Phys. Rev. Lett. 112, 057401 (2014).
    [Crossref] [PubMed]
  15. W. T. Liao, C. H. Keitel, and A. Pälffy, “X-ray-generated heralded macroscopical quantum entanglement of two nuclear ensembles,” Sci. Rep. 6, 33361 (2016).
    [Crossref] [PubMed]
  16. J. Gunst, C. H. Keitel, and A. Pälffy, “Logical operations with single x-ray photons via dynamically-controlled nuclear resonances,” Sci. Rep. 6, 25136 (2016).
    [Crossref] [PubMed]
  17. W. T. Liao and A. Pälffy, “Optomechanically induced transparency of x-rays via optical control,” Sci. Rep. 7, 321 (2017).
    [Crossref] [PubMed]
  18. K. P. Heeg and J. Evers, “X-ray quantum optics with Mössbauer nuclei embedded in thin-film cavities,” Phys. Rev. A 88, 043828 (2013).
    [Crossref]
  19. K. P. Heeg and J. Evers, “Collective effects between multiple nuclear ensembles in an x-ray cavity-QED setup,” Phys. Rev. A 91, 063803 (2015).
    [Crossref]
  20. Y. Hu, W. Liu, Y. Sun, X. Shi, J. Jiang, Y. Yang, S. Zhu, J. Evers, and H. Chen, “Electromagnetically-induced-transparency-like phenomenon with resonant meta-atoms in a cavity,” Phys. Rev. A 92, 053824 (2015).
    [Crossref]
  21. S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
    [Crossref]
  22. T. Salditt, S. P. Krüger, C. Fuhse, and C. Bähtz, “High-transmission planar x-ray waveguides,” Phys. Rev. Lett. 100, 184801 (2008).
    [Crossref] [PubMed]
  23. K. Okamoto, T. Noma, A. Komoto, W. Kubo, M. Takahashi, A. Iida, and H. Miyata, “X-ray waveguide mode in resonance with a periodic structure,” Phys. Rev. Lett. 109, 233907 (2012).
    [Crossref]
  24. R. Röhlsberger, Nuclear condensed matter physics with synchrotron radiation, (Springer Tracts in Modern Physics, 2004).
  25. R. Röhlsberger, “Theory of x-ray grazing incidence reflection in the presence of nuclear resonance excitation,” Hyperfine Interact. 123, 301–325 (1999).
    [Crossref]
  26. R. Röhlsberger, J. Evers, and S. Shwartz, “Quantum and nonlinear optics with hard x-rays,” Synchrotron Light Sources and Free-Electron Lasers: Accelerator Physics, Instrumentation and Science Applications, 1197–1229 (Springer, 2016).
  27. W. Sturhahn, “CONUSS and PHOENIX: evaluation of nuclear resonant scattering data,” Hyperfine Interact. 125, 149–172 (2000).
    [Crossref]
  28. D. L. Windt, “IMD–software for modeling the optical properties of multilayer films,” Comp. Phys. 12, 360–370 (1998).
    [Crossref]
  29. M. Tiwari, G. Lodha, and K. Sawhney, “Applications of the CATGIXRF computer program to the grazing incidence x-ray fluorescence and x-ray reflectivity characterization of thin films and surfaces,” X-Ray Spectrom. 39, 127134 (2010).
    [Crossref]
  30. A. N. Jens and M. Des, Elements of modern x-ray physics, (John Wiley, 2011).
  31. M. Born and E. Wolf, Principles of optics, (Pergamon, 1980).
  32. D. G. Stearns, “The scattering of x-rays from nonideal multilayer structures,” J. Appl. Phys. 65, 491–506 (1989).
    [Crossref]
  33. K. P. Heeg, “X-ray quantum optics with Mössbauer nuclei in thin-film cavities,” Ph.D. thesis, Ruprecht-Karls-Universität Heidelberg, (2014).
  34. M. O. Scully, E. S. Fry, C. H. R. Ooi, and K. Wódkiewicz, “Directed spontaneous emission from an extended ensemble of N atoms: timing is everything,” Phys. Rev. Lett. 96, 010501 (2006).
    [Crossref] [PubMed]
  35. J. Haber, “Hard x-ray quantum optics in thin-film nanostructures,” Ph.D. thesis, Der Universität Hambuer, (2017).
  36. P. Herskind, A. Dantan, J. Marler, M. Albert, and M. Drewsen, “Realization of collective strong coupling with ion Coulomb crystals in an optical cavity,” Nat. Phys. 5, 494–498 (2009).
    [Crossref]
  37. P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
    [Crossref] [PubMed]
  38. A. Jain, P. Tassin, T. Koschny, and C. M. Soukoulis, “Large quality factor in sheet metamaterials made from dark dielectric meta-atoms,” Phys. Rev. Lett. 112, 117403 (2014).
    [Crossref] [PubMed]
  39. N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
    [Crossref] [PubMed]

2017 (2)

X. Kong and A. Pälffy, “Collective radiation spectrum for ensembles with Zeeman splitting in single-photon superradiance,” Phys. Rev. A 96, 033819 (2017).
[Crossref]

W. T. Liao and A. Pälffy, “Optomechanically induced transparency of x-rays via optical control,” Sci. Rep. 7, 321 (2017).
[Crossref] [PubMed]

2016 (4)

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

X. Kong and A. Pälffy, “Stopping narrow-band x-ray pulses in nuclear media,” Phys. Rev. Lett. 116, 197402 (2016).
[Crossref] [PubMed]

W. T. Liao, C. H. Keitel, and A. Pälffy, “X-ray-generated heralded macroscopical quantum entanglement of two nuclear ensembles,” Sci. Rep. 6, 33361 (2016).
[Crossref] [PubMed]

J. Gunst, C. H. Keitel, and A. Pälffy, “Logical operations with single x-ray photons via dynamically-controlled nuclear resonances,” Sci. Rep. 6, 25136 (2016).
[Crossref] [PubMed]

2015 (4)

K. P. Heeg, C. Ott, D. Schumacher, H. C. Wille, R. Röhlsberger, T. Pfeifer, and J. Evers, “Interferometric phase detection at x-ray energies via Fano resonance control,” Phys. Rev. Lett. 114, 207401 (2015).
[Crossref] [PubMed]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

K. P. Heeg and J. Evers, “Collective effects between multiple nuclear ensembles in an x-ray cavity-QED setup,” Phys. Rev. A 91, 063803 (2015).
[Crossref]

Y. Hu, W. Liu, Y. Sun, X. Shi, J. Jiang, Y. Yang, S. Zhu, J. Evers, and H. Chen, “Electromagnetically-induced-transparency-like phenomenon with resonant meta-atoms in a cavity,” Phys. Rev. A 92, 053824 (2015).
[Crossref]

2014 (3)

A. Jain, P. Tassin, T. Koschny, and C. M. Soukoulis, “Large quality factor in sheet metamaterials made from dark dielectric meta-atoms,” Phys. Rev. Lett. 112, 117403 (2014).
[Crossref] [PubMed]

W. T. Liao and A. Pälffy, “Proposed entanglement of x-ray nuclear polaritons as a potential method for probing matter at the subatomic scale,” Phys. Rev. Lett. 112, 057401 (2014).
[Crossref] [PubMed]

F. Vagizov, V. Antonov, V. Y. Radeonychev, N. R. Shakhmuratov, and O. Kocharovskaya, “Coherent control of the waveforms of recoilless γ-ray photons,” Nature 508, 80 (2014).
[Crossref] [PubMed]

2013 (4)

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
[Crossref]

K. P. Heeg and J. Evers, “X-ray quantum optics with Mössbauer nuclei embedded in thin-film cavities,” Phys. Rev. A 88, 043828 (2013).
[Crossref]

2012 (4)

K. Okamoto, T. Noma, A. Komoto, W. Kubo, M. Takahashi, A. Iida, and H. Miyata, “X-ray waveguide mode in resonance with a periodic structure,” Phys. Rev. Lett. 109, 233907 (2012).
[Crossref]

S. Shwartz, R. N. Coffee, J. M. Feldkamp, Y. Feng, J. B. Hastings, G. Y. Yin, and S. E. Harris, “X-ray parametric down-conversion in the Langevin regime,” Phys. Rev. Lett. 109, 013602 (2012).
[Crossref] [PubMed]

R. Röhlsberger, H. C. Wille, K. Schlage, and B. Sahoo, “Electromagnetically induced transparency with resonant nuclei in a cavity,” Nature 482, 199–203 (2012).
[Crossref] [PubMed]

W. T. Liao, A. Pälffy, and C. H. Keitel, “Coherent storage and phase modulation of single hard-x-ray photons using nuclear excitons,” Phys. Rev. Lett. 109, 197403 (2012).
[Crossref] [PubMed]

2010 (2)

R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, “Collective Lamb shift in single-photon superradiance,” Science 328, 1248–1251 (2010).
[Crossref] [PubMed]

M. Tiwari, G. Lodha, and K. Sawhney, “Applications of the CATGIXRF computer program to the grazing incidence x-ray fluorescence and x-ray reflectivity characterization of thin films and surfaces,” X-Ray Spectrom. 39, 127134 (2010).
[Crossref]

2009 (3)

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[Crossref] [PubMed]

P. Herskind, A. Dantan, J. Marler, M. Albert, and M. Drewsen, “Realization of collective strong coupling with ion Coulomb crystals in an optical cavity,” Nat. Phys. 5, 494–498 (2009).
[Crossref]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[Crossref] [PubMed]

2008 (1)

T. Salditt, S. P. Krüger, C. Fuhse, and C. Bähtz, “High-transmission planar x-ray waveguides,” Phys. Rev. Lett. 100, 184801 (2008).
[Crossref] [PubMed]

2006 (2)

M. O. Scully, E. S. Fry, C. H. R. Ooi, and K. Wódkiewicz, “Directed spontaneous emission from an extended ensemble of N atoms: timing is everything,” Phys. Rev. Lett. 96, 010501 (2006).
[Crossref] [PubMed]

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

2000 (1)

W. Sturhahn, “CONUSS and PHOENIX: evaluation of nuclear resonant scattering data,” Hyperfine Interact. 125, 149–172 (2000).
[Crossref]

1999 (1)

R. Röhlsberger, “Theory of x-ray grazing incidence reflection in the presence of nuclear resonance excitation,” Hyperfine Interact. 123, 301–325 (1999).
[Crossref]

1998 (1)

D. L. Windt, “IMD–software for modeling the optical properties of multilayer films,” Comp. Phys. 12, 360–370 (1998).
[Crossref]

1989 (1)

D. G. Stearns, “The scattering of x-rays from nonideal multilayer structures,” J. Appl. Phys. 65, 491–506 (1989).
[Crossref]

Adams, B. W.

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

Albert, M.

P. Herskind, A. Dantan, J. Marler, M. Albert, and M. Drewsen, “Realization of collective strong coupling with ion Coulomb crystals in an optical cavity,” Nat. Phys. 5, 494–498 (2009).
[Crossref]

Antonov, V.

F. Vagizov, V. Antonov, V. Y. Radeonychev, N. R. Shakhmuratov, and O. Kocharovskaya, “Coherent control of the waveforms of recoilless γ-ray photons,” Nature 508, 80 (2014).
[Crossref] [PubMed]

Bähtz, C.

T. Salditt, S. P. Krüger, C. Fuhse, and C. Bähtz, “High-transmission planar x-ray waveguides,” Phys. Rev. Lett. 100, 184801 (2008).
[Crossref] [PubMed]

Bernhardt, H.

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

Bocklage, L.

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

Born, M.

M. Born and E. Wolf, Principles of optics, (Pergamon, 1980).

Bostedt, C.

C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
[Crossref]

Bozek, J. D.

C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
[Crossref]

Brown, G.

C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
[Crossref]

Buth, C.

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

Cavaletto, S. M.

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

Chaddah, P.

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Chattopadhyay, M. K.

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Chen, H.

Y. Hu, W. Liu, Y. Sun, X. Shi, J. Jiang, Y. Yang, S. Zhu, J. Evers, and H. Chen, “Electromagnetically-induced-transparency-like phenomenon with resonant meta-atoms in a cavity,” Phys. Rev. A 92, 053824 (2015).
[Crossref]

Coffee, R. N.

S. Shwartz, R. N. Coffee, J. M. Feldkamp, Y. Feng, J. B. Hastings, G. Y. Yin, and S. E. Harris, “X-ray parametric down-conversion in the Langevin regime,” Phys. Rev. Lett. 109, 013602 (2012).
[Crossref] [PubMed]

Couet, S.

R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, “Collective Lamb shift in single-photon superradiance,” Science 328, 1248–1251 (2010).
[Crossref] [PubMed]

Dantan, A.

P. Herskind, A. Dantan, J. Marler, M. Albert, and M. Drewsen, “Realization of collective strong coupling with ion Coulomb crystals in an optical cavity,” Nat. Phys. 5, 494–498 (2009).
[Crossref]

Des, M.

A. N. Jens and M. Des, Elements of modern x-ray physics, (John Wiley, 2011).

Drewsen, M.

P. Herskind, A. Dantan, J. Marler, M. Albert, and M. Drewsen, “Realization of collective strong coupling with ion Coulomb crystals in an optical cavity,” Nat. Phys. 5, 494–498 (2009).
[Crossref]

Economou, E. N.

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[Crossref] [PubMed]

Evers, J.

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

K. P. Heeg, C. Ott, D. Schumacher, H. C. Wille, R. Röhlsberger, T. Pfeifer, and J. Evers, “Interferometric phase detection at x-ray energies via Fano resonance control,” Phys. Rev. Lett. 114, 207401 (2015).
[Crossref] [PubMed]

Y. Hu, W. Liu, Y. Sun, X. Shi, J. Jiang, Y. Yang, S. Zhu, J. Evers, and H. Chen, “Electromagnetically-induced-transparency-like phenomenon with resonant meta-atoms in a cavity,” Phys. Rev. A 92, 053824 (2015).
[Crossref]

K. P. Heeg and J. Evers, “Collective effects between multiple nuclear ensembles in an x-ray cavity-QED setup,” Phys. Rev. A 91, 063803 (2015).
[Crossref]

K. P. Heeg and J. Evers, “X-ray quantum optics with Mössbauer nuclei embedded in thin-film cavities,” Phys. Rev. A 88, 043828 (2013).
[Crossref]

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

R. Röhlsberger, J. Evers, and S. Shwartz, “Quantum and nonlinear optics with hard x-rays,” Synchrotron Light Sources and Free-Electron Lasers: Accelerator Physics, Instrumentation and Science Applications, 1197–1229 (Springer, 2016).

Feldkamp, J. M.

S. Shwartz, R. N. Coffee, J. M. Feldkamp, Y. Feng, J. B. Hastings, G. Y. Yin, and S. E. Harris, “X-ray parametric down-conversion in the Langevin regime,” Phys. Rev. Lett. 109, 013602 (2012).
[Crossref] [PubMed]

Feng, Y.

S. Shwartz, R. N. Coffee, J. M. Feldkamp, Y. Feng, J. B. Hastings, G. Y. Yin, and S. E. Harris, “X-ray parametric down-conversion in the Langevin regime,” Phys. Rev. Lett. 109, 013602 (2012).
[Crossref] [PubMed]

Fleischhauer, M.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[Crossref] [PubMed]

Fry, E. S.

M. O. Scully, E. S. Fry, C. H. R. Ooi, and K. Wódkiewicz, “Directed spontaneous emission from an extended ensemble of N atoms: timing is everything,” Phys. Rev. Lett. 96, 010501 (2006).
[Crossref] [PubMed]

Fuhse, C.

T. Salditt, S. P. Krüger, C. Fuhse, and C. Bähtz, “High-transmission planar x-ray waveguides,” Phys. Rev. Lett. 100, 184801 (2008).
[Crossref] [PubMed]

Gardelis, S.

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Giapintzakis, J.

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Giessen, H.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[Crossref] [PubMed]

Graf, A.

C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
[Crossref]

Gunst, J.

J. Gunst, C. H. Keitel, and A. Pälffy, “Logical operations with single x-ray photons via dynamically-controlled nuclear resonances,” Sci. Rep. 6, 25136 (2016).
[Crossref] [PubMed]

Gurieva, T.

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

Guryeva, T.

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

Haber, J.

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

J. Haber, “Hard x-ray quantum optics in thin-film nanostructures,” Ph.D. thesis, Der Universität Hambuer, (2017).

Harman, Z.

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

Harris, S. E.

S. Shwartz, R. N. Coffee, J. M. Feldkamp, Y. Feng, J. B. Hastings, G. Y. Yin, and S. E. Harris, “X-ray parametric down-conversion in the Langevin regime,” Phys. Rev. Lett. 109, 013602 (2012).
[Crossref] [PubMed]

Hastings, J. B.

S. Shwartz, R. N. Coffee, J. M. Feldkamp, Y. Feng, J. B. Hastings, G. Y. Yin, and S. E. Harris, “X-ray parametric down-conversion in the Langevin regime,” Phys. Rev. Lett. 109, 013602 (2012).
[Crossref] [PubMed]

Heeg, K. P.

K. P. Heeg, C. Ott, D. Schumacher, H. C. Wille, R. Röhlsberger, T. Pfeifer, and J. Evers, “Interferometric phase detection at x-ray energies via Fano resonance control,” Phys. Rev. Lett. 114, 207401 (2015).
[Crossref] [PubMed]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

K. P. Heeg and J. Evers, “Collective effects between multiple nuclear ensembles in an x-ray cavity-QED setup,” Phys. Rev. A 91, 063803 (2015).
[Crossref]

K. P. Heeg and J. Evers, “X-ray quantum optics with Mössbauer nuclei embedded in thin-film cavities,” Phys. Rev. A 88, 043828 (2013).
[Crossref]

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

K. P. Heeg, “X-ray quantum optics with Mössbauer nuclei in thin-film cavities,” Ph.D. thesis, Ruprecht-Karls-Universität Heidelberg, (2014).

Herskind, P.

P. Herskind, A. Dantan, J. Marler, M. Albert, and M. Drewsen, “Realization of collective strong coupling with ion Coulomb crystals in an optical cavity,” Nat. Phys. 5, 494–498 (2009).
[Crossref]

Hu, Y.

Y. Hu, W. Liu, Y. Sun, X. Shi, J. Jiang, Y. Yang, S. Zhu, J. Evers, and H. Chen, “Electromagnetically-induced-transparency-like phenomenon with resonant meta-atoms in a cavity,” Phys. Rev. A 92, 053824 (2015).
[Crossref]

Iida, A.

K. Okamoto, T. Noma, A. Komoto, W. Kubo, M. Takahashi, A. Iida, and H. Miyata, “X-ray waveguide mode in resonance with a periodic structure,” Phys. Rev. Lett. 109, 233907 (2012).
[Crossref]

Jain, A.

A. Jain, P. Tassin, T. Koschny, and C. M. Soukoulis, “Large quality factor in sheet metamaterials made from dark dielectric meta-atoms,” Phys. Rev. Lett. 112, 117403 (2014).
[Crossref] [PubMed]

Jens, A. N.

A. N. Jens and M. Des, Elements of modern x-ray physics, (John Wiley, 2011).

Jiang, J.

Y. Hu, W. Liu, Y. Sun, X. Shi, J. Jiang, Y. Yang, S. Zhu, J. Evers, and H. Chen, “Electromagnetically-induced-transparency-like phenomenon with resonant meta-atoms in a cavity,” Phys. Rev. A 92, 053824 (2015).
[Crossref]

Kämpfer, T.

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

Kästel, J.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[Crossref] [PubMed]

Keitel, C. H.

J. Gunst, C. H. Keitel, and A. Pälffy, “Logical operations with single x-ray photons via dynamically-controlled nuclear resonances,” Sci. Rep. 6, 25136 (2016).
[Crossref] [PubMed]

W. T. Liao, C. H. Keitel, and A. Pälffy, “X-ray-generated heralded macroscopical quantum entanglement of two nuclear ensembles,” Sci. Rep. 6, 33361 (2016).
[Crossref] [PubMed]

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

W. T. Liao, A. Pälffy, and C. H. Keitel, “Coherent storage and phase modulation of single hard-x-ray photons using nuclear excitons,” Phys. Rev. Lett. 109, 197403 (2012).
[Crossref] [PubMed]

Kocharovskaya, O.

F. Vagizov, V. Antonov, V. Y. Radeonychev, N. R. Shakhmuratov, and O. Kocharovskaya, “Coherent control of the waveforms of recoilless γ-ray photons,” Nature 508, 80 (2014).
[Crossref] [PubMed]

Komoto, A.

K. Okamoto, T. Noma, A. Komoto, W. Kubo, M. Takahashi, A. Iida, and H. Miyata, “X-ray waveguide mode in resonance with a periodic structure,” Phys. Rev. Lett. 109, 233907 (2012).
[Crossref]

Kong, X.

X. Kong and A. Pälffy, “Collective radiation spectrum for ensembles with Zeeman splitting in single-photon superradiance,” Phys. Rev. A 96, 033819 (2017).
[Crossref]

X. Kong and A. Pälffy, “Stopping narrow-band x-ray pulses in nuclear media,” Phys. Rev. Lett. 116, 197402 (2016).
[Crossref] [PubMed]

Koschny, T.

A. Jain, P. Tassin, T. Koschny, and C. M. Soukoulis, “Large quality factor in sheet metamaterials made from dark dielectric meta-atoms,” Phys. Rev. Lett. 112, 117403 (2014).
[Crossref] [PubMed]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[Crossref] [PubMed]

Krüger, S. P.

T. Salditt, S. P. Krüger, C. Fuhse, and C. Bähtz, “High-transmission planar x-ray waveguides,” Phys. Rev. Lett. 100, 184801 (2008).
[Crossref] [PubMed]

Kubo, W.

K. Okamoto, T. Noma, A. Komoto, W. Kubo, M. Takahashi, A. Iida, and H. Miyata, “X-ray waveguide mode in resonance with a periodic structure,” Phys. Rev. Lett. 109, 233907 (2012).
[Crossref]

Langguth, L.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[Crossref] [PubMed]

Liao, W. T.

W. T. Liao and A. Pälffy, “Optomechanically induced transparency of x-rays via optical control,” Sci. Rep. 7, 321 (2017).
[Crossref] [PubMed]

W. T. Liao, C. H. Keitel, and A. Pälffy, “X-ray-generated heralded macroscopical quantum entanglement of two nuclear ensembles,” Sci. Rep. 6, 33361 (2016).
[Crossref] [PubMed]

W. T. Liao and A. Pälffy, “Proposed entanglement of x-ray nuclear polaritons as a potential method for probing matter at the subatomic scale,” Phys. Rev. Lett. 112, 057401 (2014).
[Crossref] [PubMed]

W. T. Liao, A. Pälffy, and C. H. Keitel, “Coherent storage and phase modulation of single hard-x-ray photons using nuclear excitons,” Phys. Rev. Lett. 109, 197403 (2012).
[Crossref] [PubMed]

Liu, N.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[Crossref] [PubMed]

Liu, W.

Y. Hu, W. Liu, Y. Sun, X. Shi, J. Jiang, Y. Yang, S. Zhu, J. Evers, and H. Chen, “Electromagnetically-induced-transparency-like phenomenon with resonant meta-atoms in a cavity,” Phys. Rev. A 92, 053824 (2015).
[Crossref]

Lodha, G.

M. Tiwari, G. Lodha, and K. Sawhney, “Applications of the CATGIXRF computer program to the grazing incidence x-ray fluorescence and x-ray reflectivity characterization of thin films and surfaces,” X-Ray Spectrom. 39, 127134 (2010).
[Crossref]

Lodha, G. S.

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Loetzsch, R.

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

London, R. A.

C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
[Crossref]

Majumdar, S.

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Marler, J.

P. Herskind, A. Dantan, J. Marler, M. Albert, and M. Drewsen, “Realization of collective strong coupling with ion Coulomb crystals in an optical cavity,” Nat. Phys. 5, 494–498 (2009).
[Crossref]

Marx, B.

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

Miyata, H.

K. Okamoto, T. Noma, A. Komoto, W. Kubo, M. Takahashi, A. Iida, and H. Miyata, “X-ray waveguide mode in resonance with a periodic structure,” Phys. Rev. Lett. 109, 233907 (2012).
[Crossref]

Modi, M. H.

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Nandedkar, R. V.

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Noma, T.

K. Okamoto, T. Noma, A. Komoto, W. Kubo, M. Takahashi, A. Iida, and H. Miyata, “X-ray waveguide mode in resonance with a periodic structure,” Phys. Rev. Lett. 109, 233907 (2012).
[Crossref]

Okamoto, K.

K. Okamoto, T. Noma, A. Komoto, W. Kubo, M. Takahashi, A. Iida, and H. Miyata, “X-ray waveguide mode in resonance with a periodic structure,” Phys. Rev. Lett. 109, 233907 (2012).
[Crossref]

Ooi, C. H. R.

M. O. Scully, E. S. Fry, C. H. R. Ooi, and K. Wódkiewicz, “Directed spontaneous emission from an extended ensemble of N atoms: timing is everything,” Phys. Rev. Lett. 96, 010501 (2006).
[Crossref] [PubMed]

Ott, C.

K. P. Heeg, C. Ott, D. Schumacher, H. C. Wille, R. Röhlsberger, T. Pfeifer, and J. Evers, “Interferometric phase detection at x-ray energies via Fano resonance control,” Phys. Rev. Lett. 114, 207401 (2015).
[Crossref] [PubMed]

Pálffy, A.

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

Pälffy, A.

W. T. Liao and A. Pälffy, “Optomechanically induced transparency of x-rays via optical control,” Sci. Rep. 7, 321 (2017).
[Crossref] [PubMed]

X. Kong and A. Pälffy, “Collective radiation spectrum for ensembles with Zeeman splitting in single-photon superradiance,” Phys. Rev. A 96, 033819 (2017).
[Crossref]

X. Kong and A. Pälffy, “Stopping narrow-band x-ray pulses in nuclear media,” Phys. Rev. Lett. 116, 197402 (2016).
[Crossref] [PubMed]

W. T. Liao, C. H. Keitel, and A. Pälffy, “X-ray-generated heralded macroscopical quantum entanglement of two nuclear ensembles,” Sci. Rep. 6, 33361 (2016).
[Crossref] [PubMed]

J. Gunst, C. H. Keitel, and A. Pälffy, “Logical operations with single x-ray photons via dynamically-controlled nuclear resonances,” Sci. Rep. 6, 25136 (2016).
[Crossref] [PubMed]

W. T. Liao and A. Pälffy, “Proposed entanglement of x-ray nuclear polaritons as a potential method for probing matter at the subatomic scale,” Phys. Rev. Lett. 112, 057401 (2014).
[Crossref] [PubMed]

W. T. Liao, A. Pälffy, and C. H. Keitel, “Coherent storage and phase modulation of single hard-x-ray photons using nuclear excitons,” Phys. Rev. Lett. 109, 197403 (2012).
[Crossref] [PubMed]

Paulus, G. G.

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

Pfau, T.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[Crossref] [PubMed]

Pfeifer, T.

K. P. Heeg, C. Ott, D. Schumacher, H. C. Wille, R. Röhlsberger, T. Pfeifer, and J. Evers, “Interferometric phase detection at x-ray energies via Fano resonance control,” Phys. Rev. Lett. 114, 207401 (2015).
[Crossref] [PubMed]

Picón, Antonio

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

Purvis, M.

C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
[Crossref]

Radeonychev, V. Y.

F. Vagizov, V. Antonov, V. Y. Radeonychev, N. R. Shakhmuratov, and O. Kocharovskaya, “Coherent control of the waveforms of recoilless γ-ray photons,” Nature 508, 80 (2014).
[Crossref] [PubMed]

Rai, S.

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Rocca, J. J.

C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
[Crossref]

Röhlsberger, R.

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

K. P. Heeg, C. Ott, D. Schumacher, H. C. Wille, R. Röhlsberger, T. Pfeifer, and J. Evers, “Interferometric phase detection at x-ray energies via Fano resonance control,” Phys. Rev. Lett. 114, 207401 (2015).
[Crossref] [PubMed]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

R. Röhlsberger, H. C. Wille, K. Schlage, and B. Sahoo, “Electromagnetically induced transparency with resonant nuclei in a cavity,” Nature 482, 199–203 (2012).
[Crossref] [PubMed]

R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, “Collective Lamb shift in single-photon superradiance,” Science 328, 1248–1251 (2010).
[Crossref] [PubMed]

R. Röhlsberger, “Theory of x-ray grazing incidence reflection in the presence of nuclear resonance excitation,” Hyperfine Interact. 123, 301–325 (1999).
[Crossref]

R. Röhlsberger, J. Evers, and S. Shwartz, “Quantum and nonlinear optics with hard x-rays,” Synchrotron Light Sources and Free-Electron Lasers: Accelerator Physics, Instrumentation and Science Applications, 1197–1229 (Springer, 2016).

R. Röhlsberger, Nuclear condensed matter physics with synchrotron radiation, (Springer Tracts in Modern Physics, 2004).

Rohringer, N.

C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
[Crossref]

Rostovtsev, Y.

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

Roy, S. B.

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Rüffer, R.

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, “Collective Lamb shift in single-photon superradiance,” Science 328, 1248–1251 (2010).
[Crossref] [PubMed]

Ryan, D.

C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
[Crossref]

Sahoo, B.

R. Röhlsberger, H. C. Wille, K. Schlage, and B. Sahoo, “Electromagnetically induced transparency with resonant nuclei in a cavity,” Nature 482, 199–203 (2012).
[Crossref] [PubMed]

R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, “Collective Lamb shift in single-photon superradiance,” Science 328, 1248–1251 (2010).
[Crossref] [PubMed]

Salditt, T.

T. Salditt, S. P. Krüger, C. Fuhse, and C. Bähtz, “High-transmission planar x-ray waveguides,” Phys. Rev. Lett. 100, 184801 (2008).
[Crossref] [PubMed]

Sawhney, K.

M. Tiwari, G. Lodha, and K. Sawhney, “Applications of the CATGIXRF computer program to the grazing incidence x-ray fluorescence and x-ray reflectivity characterization of thin films and surfaces,” X-Ray Spectrom. 39, 127134 (2010).
[Crossref]

Schlage, K.

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

R. Röhlsberger, H. C. Wille, K. Schlage, and B. Sahoo, “Electromagnetically induced transparency with resonant nuclei in a cavity,” Nature 482, 199–203 (2012).
[Crossref] [PubMed]

R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, “Collective Lamb shift in single-photon superradiance,” Science 328, 1248–1251 (2010).
[Crossref] [PubMed]

Schulze, K. S.

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

Schumacher, D.

K. P. Heeg, C. Ott, D. Schumacher, H. C. Wille, R. Röhlsberger, T. Pfeifer, and J. Evers, “Interferometric phase detection at x-ray energies via Fano resonance control,” Phys. Rev. Lett. 114, 207401 (2015).
[Crossref] [PubMed]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

Scully, M. O.

M. O. Scully, E. S. Fry, C. H. R. Ooi, and K. Wódkiewicz, “Directed spontaneous emission from an extended ensemble of N atoms: timing is everything,” Phys. Rev. Lett. 96, 010501 (2006).
[Crossref] [PubMed]

Shakhmuratov, N. R.

F. Vagizov, V. Antonov, V. Y. Radeonychev, N. R. Shakhmuratov, and O. Kocharovskaya, “Coherent control of the waveforms of recoilless γ-ray photons,” Nature 508, 80 (2014).
[Crossref] [PubMed]

Shi, X.

Y. Hu, W. Liu, Y. Sun, X. Shi, J. Jiang, Y. Yang, S. Zhu, J. Evers, and H. Chen, “Electromagnetically-induced-transparency-like phenomenon with resonant meta-atoms in a cavity,” Phys. Rev. A 92, 053824 (2015).
[Crossref]

Shwartz, S.

S. Shwartz, R. N. Coffee, J. M. Feldkamp, Y. Feng, J. B. Hastings, G. Y. Yin, and S. E. Harris, “X-ray parametric down-conversion in the Langevin regime,” Phys. Rev. Lett. 109, 013602 (2012).
[Crossref] [PubMed]

R. Röhlsberger, J. Evers, and S. Shwartz, “Quantum and nonlinear optics with hard x-rays,” Synchrotron Light Sources and Free-Electron Lasers: Accelerator Physics, Instrumentation and Science Applications, 1197–1229 (Springer, 2016).

Soukoulis, C. M.

A. Jain, P. Tassin, T. Koschny, and C. M. Soukoulis, “Large quality factor in sheet metamaterials made from dark dielectric meta-atoms,” Phys. Rev. Lett. 112, 117403 (2014).
[Crossref] [PubMed]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[Crossref] [PubMed]

Stearns, D. G.

D. G. Stearns, “The scattering of x-rays from nonideal multilayer structures,” J. Appl. Phys. 65, 491–506 (1989).
[Crossref]

Sturhahn, W.

W. Sturhahn, “CONUSS and PHOENIX: evaluation of nuclear resonant scattering data,” Hyperfine Interact. 125, 149–172 (2000).
[Crossref]

Sun, Y.

Y. Hu, W. Liu, Y. Sun, X. Shi, J. Jiang, Y. Yang, S. Zhu, J. Evers, and H. Chen, “Electromagnetically-induced-transparency-like phenomenon with resonant meta-atoms in a cavity,” Phys. Rev. A 92, 053824 (2015).
[Crossref]

Takahashi, M.

K. Okamoto, T. Noma, A. Komoto, W. Kubo, M. Takahashi, A. Iida, and H. Miyata, “X-ray waveguide mode in resonance with a periodic structure,” Phys. Rev. Lett. 109, 233907 (2012).
[Crossref]

Tamasaku, K.

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

Tassin, P.

A. Jain, P. Tassin, T. Koschny, and C. M. Soukoulis, “Large quality factor in sheet metamaterials made from dark dielectric meta-atoms,” Phys. Rev. Lett. 112, 117403 (2014).
[Crossref] [PubMed]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[Crossref] [PubMed]

Tiwari, M.

M. Tiwari, G. Lodha, and K. Sawhney, “Applications of the CATGIXRF computer program to the grazing incidence x-ray fluorescence and x-ray reflectivity characterization of thin films and surfaces,” X-Ray Spectrom. 39, 127134 (2010).
[Crossref]

Tiwari, M. K.

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Uschmann, I.

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

Vagizov, F.

F. Vagizov, V. Antonov, V. Y. Radeonychev, N. R. Shakhmuratov, and O. Kocharovskaya, “Coherent control of the waveforms of recoilless γ-ray photons,” Nature 508, 80 (2014).
[Crossref] [PubMed]

Viskadourakis, Z.

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Weiss, T.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[Crossref] [PubMed]

Weninger, C.

C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
[Crossref]

Wille, H. C.

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

K. P. Heeg, C. Ott, D. Schumacher, H. C. Wille, R. Röhlsberger, T. Pfeifer, and J. Evers, “Interferometric phase detection at x-ray energies via Fano resonance control,” Phys. Rev. Lett. 114, 207401 (2015).
[Crossref] [PubMed]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

R. Röhlsberger, H. C. Wille, K. Schlage, and B. Sahoo, “Electromagnetically induced transparency with resonant nuclei in a cavity,” Nature 482, 199–203 (2012).
[Crossref] [PubMed]

Windt, D. L.

D. L. Windt, “IMD–software for modeling the optical properties of multilayer films,” Comp. Phys. 12, 360–370 (1998).
[Crossref]

Wódkiewicz, K.

M. O. Scully, E. S. Fry, C. H. R. Ooi, and K. Wódkiewicz, “Directed spontaneous emission from an extended ensemble of N atoms: timing is everything,” Phys. Rev. Lett. 96, 010501 (2006).
[Crossref] [PubMed]

Wolf, E.

M. Born and E. Wolf, Principles of optics, (Pergamon, 1980).

Yang, Y.

Y. Hu, W. Liu, Y. Sun, X. Shi, J. Jiang, Y. Yang, S. Zhu, J. Evers, and H. Chen, “Electromagnetically-induced-transparency-like phenomenon with resonant meta-atoms in a cavity,” Phys. Rev. A 92, 053824 (2015).
[Crossref]

Yin, G. Y.

S. Shwartz, R. N. Coffee, J. M. Feldkamp, Y. Feng, J. B. Hastings, G. Y. Yin, and S. E. Harris, “X-ray parametric down-conversion in the Langevin regime,” Phys. Rev. Lett. 109, 013602 (2012).
[Crossref] [PubMed]

Zhang, L.

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[Crossref] [PubMed]

Zhu, S.

Y. Hu, W. Liu, Y. Sun, X. Shi, J. Jiang, Y. Yang, S. Zhu, J. Evers, and H. Chen, “Electromagnetically-induced-transparency-like phenomenon with resonant meta-atoms in a cavity,” Phys. Rev. A 92, 053824 (2015).
[Crossref]

Comp. Phys. (1)

D. L. Windt, “IMD–software for modeling the optical properties of multilayer films,” Comp. Phys. 12, 360–370 (1998).
[Crossref]

Hyperfine Interact. (2)

R. Röhlsberger, “Theory of x-ray grazing incidence reflection in the presence of nuclear resonance excitation,” Hyperfine Interact. 123, 301–325 (1999).
[Crossref]

W. Sturhahn, “CONUSS and PHOENIX: evaluation of nuclear resonant scattering data,” Hyperfine Interact. 125, 149–172 (2000).
[Crossref]

J. Appl. Phys. (1)

D. G. Stearns, “The scattering of x-rays from nonideal multilayer structures,” J. Appl. Phys. 65, 491–506 (1989).
[Crossref]

J. Mod. Optic. (1)

B. W. Adams, C. Buth, S. M. Cavaletto, J. Evers, Z. Harman, C. H. Keitel, A. Pálffy, Antonio Picón, R. Röhlsberger, Y. Rostovtsev, and K. Tamasaku, “X-ray quantum optics,” J. Mod. Optic. 60, 2–21 (2013).
[Crossref]

Nat. Mater. (1)

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[Crossref] [PubMed]

Nat. Photon. (1)

J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H. C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, “Collective strong coupling of x-rays and nuclei in a nuclear optical lattice,” Nat. Photon. 10, 445–449 (2016).
[Crossref]

Nat. Phys. (1)

P. Herskind, A. Dantan, J. Marler, M. Albert, and M. Drewsen, “Realization of collective strong coupling with ion Coulomb crystals in an optical cavity,” Nat. Phys. 5, 494–498 (2009).
[Crossref]

Nature (2)

F. Vagizov, V. Antonov, V. Y. Radeonychev, N. R. Shakhmuratov, and O. Kocharovskaya, “Coherent control of the waveforms of recoilless γ-ray photons,” Nature 508, 80 (2014).
[Crossref] [PubMed]

R. Röhlsberger, H. C. Wille, K. Schlage, and B. Sahoo, “Electromagnetically induced transparency with resonant nuclei in a cavity,” Nature 482, 199–203 (2012).
[Crossref] [PubMed]

Phys. Rev. A (4)

X. Kong and A. Pälffy, “Collective radiation spectrum for ensembles with Zeeman splitting in single-photon superradiance,” Phys. Rev. A 96, 033819 (2017).
[Crossref]

K. P. Heeg and J. Evers, “X-ray quantum optics with Mössbauer nuclei embedded in thin-film cavities,” Phys. Rev. A 88, 043828 (2013).
[Crossref]

K. P. Heeg and J. Evers, “Collective effects between multiple nuclear ensembles in an x-ray cavity-QED setup,” Phys. Rev. A 91, 063803 (2015).
[Crossref]

Y. Hu, W. Liu, Y. Sun, X. Shi, J. Jiang, Y. Yang, S. Zhu, J. Evers, and H. Chen, “Electromagnetically-induced-transparency-like phenomenon with resonant meta-atoms in a cavity,” Phys. Rev. A 92, 053824 (2015).
[Crossref]

Phys. Rev. B (1)

S. Rai, M. K. Tiwari, G. S. Lodha, M. H. Modi, M. K. Chattopadhyay, S. Majumdar, S. Gardelis, Z. Viskadourakis, J. Giapintzakis, R. V. Nandedkar, S. B. Roy, and P. Chaddah, “Surface and interface study of pulsed-laser-deposited off-stoichiometric NiMnSb thin films on a Si(100) substrate,” Phys. Rev. B 73, 035417 (2006).
[Crossref]

Phys. Rev. Lett. (13)

T. Salditt, S. P. Krüger, C. Fuhse, and C. Bähtz, “High-transmission planar x-ray waveguides,” Phys. Rev. Lett. 100, 184801 (2008).
[Crossref] [PubMed]

K. Okamoto, T. Noma, A. Komoto, W. Kubo, M. Takahashi, A. Iida, and H. Miyata, “X-ray waveguide mode in resonance with a periodic structure,” Phys. Rev. Lett. 109, 233907 (2012).
[Crossref]

W. T. Liao, A. Pälffy, and C. H. Keitel, “Coherent storage and phase modulation of single hard-x-ray photons using nuclear excitons,” Phys. Rev. Lett. 109, 197403 (2012).
[Crossref] [PubMed]

W. T. Liao and A. Pälffy, “Proposed entanglement of x-ray nuclear polaritons as a potential method for probing matter at the subatomic scale,” Phys. Rev. Lett. 112, 057401 (2014).
[Crossref] [PubMed]

K. P. Heeg, H. C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, “Vacuum-assisted generation and control of atomic coherences at x-ray energies,” Phys. Rev. Lett. 117, 073601 (2013).
[Crossref]

K. P. Heeg, C. Ott, D. Schumacher, H. C. Wille, R. Röhlsberger, T. Pfeifer, and J. Evers, “Interferometric phase detection at x-ray energies via Fano resonance control,” Phys. Rev. Lett. 114, 207401 (2015).
[Crossref] [PubMed]

K. P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H. C. Wille, K. S. Schulze, R. Loetzsch, I. Uschmann, G. G. Paulus, R. Rüffer, R. Röhlsberger, and J. Evers, “Tunable subluminal propagation of narrow-band x-ray pulses,” Phys. Rev. Lett. 114, 203601 (2015).
[Crossref] [PubMed]

C. Weninger, M. Purvis, D. Ryan, R. A. London, J. D. Bozek, C. Bostedt, A. Graf, G. Brown, J. J. Rocca, and N. Rohringer, “Stimulated electronic x-ray raman scattering,” Phys. Rev. Lett. 111, 233902 (2013).
[Crossref]

S. Shwartz, R. N. Coffee, J. M. Feldkamp, Y. Feng, J. B. Hastings, G. Y. Yin, and S. E. Harris, “X-ray parametric down-conversion in the Langevin regime,” Phys. Rev. Lett. 109, 013602 (2012).
[Crossref] [PubMed]

X. Kong and A. Pälffy, “Stopping narrow-band x-ray pulses in nuclear media,” Phys. Rev. Lett. 116, 197402 (2016).
[Crossref] [PubMed]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[Crossref] [PubMed]

A. Jain, P. Tassin, T. Koschny, and C. M. Soukoulis, “Large quality factor in sheet metamaterials made from dark dielectric meta-atoms,” Phys. Rev. Lett. 112, 117403 (2014).
[Crossref] [PubMed]

M. O. Scully, E. S. Fry, C. H. R. Ooi, and K. Wódkiewicz, “Directed spontaneous emission from an extended ensemble of N atoms: timing is everything,” Phys. Rev. Lett. 96, 010501 (2006).
[Crossref] [PubMed]

Sci. Rep. (3)

W. T. Liao, C. H. Keitel, and A. Pälffy, “X-ray-generated heralded macroscopical quantum entanglement of two nuclear ensembles,” Sci. Rep. 6, 33361 (2016).
[Crossref] [PubMed]

J. Gunst, C. H. Keitel, and A. Pälffy, “Logical operations with single x-ray photons via dynamically-controlled nuclear resonances,” Sci. Rep. 6, 25136 (2016).
[Crossref] [PubMed]

W. T. Liao and A. Pälffy, “Optomechanically induced transparency of x-rays via optical control,” Sci. Rep. 7, 321 (2017).
[Crossref] [PubMed]

Science (1)

R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, “Collective Lamb shift in single-photon superradiance,” Science 328, 1248–1251 (2010).
[Crossref] [PubMed]

X-Ray Spectrom. (1)

M. Tiwari, G. Lodha, and K. Sawhney, “Applications of the CATGIXRF computer program to the grazing incidence x-ray fluorescence and x-ray reflectivity characterization of thin films and surfaces,” X-Ray Spectrom. 39, 127134 (2010).
[Crossref]

Other (6)

A. N. Jens and M. Des, Elements of modern x-ray physics, (John Wiley, 2011).

M. Born and E. Wolf, Principles of optics, (Pergamon, 1980).

R. Röhlsberger, J. Evers, and S. Shwartz, “Quantum and nonlinear optics with hard x-rays,” Synchrotron Light Sources and Free-Electron Lasers: Accelerator Physics, Instrumentation and Science Applications, 1197–1229 (Springer, 2016).

J. Haber, “Hard x-ray quantum optics in thin-film nanostructures,” Ph.D. thesis, Der Universität Hambuer, (2017).

K. P. Heeg, “X-ray quantum optics with Mössbauer nuclei in thin-film cavities,” Ph.D. thesis, Ruprecht-Karls-Universität Heidelberg, (2014).

R. Röhlsberger, Nuclear condensed matter physics with synchrotron radiation, (Springer Tracts in Modern Physics, 2004).

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 (5)

Fig. 1
Fig. 1 A schematic diagram of a cavity structure constructed by multilayer. The refraction and reflection parts of the electric field amplitude are also shown in each layer.
Fig. 2
Fig. 2 The real part increment −δ and the imaginary part increment β for n of the 57Fe around the nuclear resonant energy, as well as the ones of the mirror medium Pt and the guiding medium C for comparison. The δ and β far from the resonance are not zero due to the contributions from δe and βe.
Fig. 3
Fig. 3 (a) The geometry of the cavity is labeled on the top of the cavity schematic, and the first layer of Pt is thin enough (2.5 nm) that the x-ray can penetrate into the cavity evanescently. Compared with Fig. 1, we rotate the coordinate system for convenience. (b) Field distribution inside the cavity for off-resonance or on-resonance. The solid brown bar represents the 57Fe layer arranged at the middle of the cavity, i.e., the antinode position. (c) The reflectivity curves for the 57Fe layer arranging at the antinode or the node position. (d) The field redistributions for on-resonant nuclear layer at different positions. The thicknesses of the iron are kept as 2 nm. With moving the nuclear layer from antinode to node, the grazing angle should be modulated slightly to ensure the guided mode in the third order, the corresponding grazing angles are 0.203°, 0.203°, 0.201°, 0.198°, 0.196°.
Fig. 4
Fig. 4 Reflected curves and the field distributions when the 57Fe layer is employed as a mirror. (a) Choose the geometry that keeps one antinode compared with the original cavity, and (b) keeps two antinodes. The schematics of these two samples are shown on the top of the spectra, the size of (b) is larger than the size of (a), and the thicknesses of the iron are kept as 2 nm as the same as in Fig. 3. The grazing angles are all 0.196° as the same as the node condition in Fig. 3(d).
Fig. 5
Fig. 5 The field distributions at off or on-resonance for the x-ray EIT structure, the guided mode at the third order is also driven which is same as the one in Fig. 3(b). The thicknesses of the iron are kept as 2 nm. The present result shows a good agreement with the result of Ref. [19].

Equations (11)

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

E j ( r ) = E j × e i ( ω t k j r )
k j , z = k n j 2 cos 2 θ
r j = k j , z k j + 1 , z k j , z + k j + 1 , z t j = 2 k j , z k j , z + k j + 1 , z
E j r = β j 2 R j E j t E j + 1 t = β j E j t t j 2 ( 1 + β j + 1 2 R j + 1 r j )
R j = r j + β j + 1 2 R j + 1 1 + β j + 1 2 R j + 1 r j β j = exp ( i k j , z d j )
R ( θ , ω ) = | E 0 r E 0 | 2 T ( θ , ω ) = | E s t E 0 | 2
I j ( z , θ , ω ) = | E j t + E j r E 0 | 2
n N = 1 + f N k 0
f N = 2 π ρ N k 0 k 0 f L M 2 ( 1 + α ) 2 I e + 1 2 I g + 1 [ 1 2 Δ / γ 0 + i ]
n = n N δ e + i β e = 1 δ e + i β e 2 π ρ N k 0 3 f L M 2 ( 1 + α ) 2 I e + 1 2 I g + 1 [ 1 2 Δ / γ 0 + i ] = 1 δ + i β
| + | g 1 + | e 0 | | g 1 + | e 0

Metrics