Abstract

We report the first measurement of a tune-out wavelength for ground-state bosonic Dy and linearly polarized light. The tune-out wavelength is measured as a detuning from the nearby narrow-line 741-nm transition in 162Dy, and is the wavelength at which the total Stark shift of the ground state vanishes. We find that it strongly depends on the relative angle between the optical field and quantization axis due to Dy’s large tensor polarizability. This anisotropy provides a wide, 22-GHz tunability of the tune-out frequency for linearly polarized light, in contrast to Rb and Cs whose near-infrared tune-out wavelengths do not exhibit large anisotropy. The measurements of the total light shift are performed by measuring the contrast of multipulse Kapitza-Dirac diffraction. The calculated wavelengths are within a few GHz of the measured values using known Dy electronic transition data. The lack of hyperfine structure in bosonic Dy implies that the tune-out wavelengths for the other bosonic Dy isotopes should be related to this 162Dy measurement by the known isotope shifts.

© 2017 Optical Society of America

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2017 (1)

H. Li, J.-F. Wyart, O. Dulieu, S. Nascimbène, and M. Lepers, “Optical trapping of ultracold dysprosium atoms: transition probabilities, dynamic dipole polarizabilities and van der Waals C6 coefficients,” J. Phys. B 50, 014005 (2017).
[Crossref]

2016 (10)

N. Q. Burdick, Y. Tang, and B. L. Lev, “Long-lived spin-orbit-coupled degenerate dipolar Fermi gas,” Phys. Rev. X 6, 031022 (2016).

S. Baier, M. J. Mark, D. Petter, K. Aikawa, L. Chomaz, Z. Cai, M. Baranov, P. Zoller, and F. Ferlaino, “Extended Bose-Hubbard models with ultracold magnetic atoms,” Science 352, 201 (2016).
[Crossref] [PubMed]

H. Kadau, M. Schmitt, M. Wenzel, C. Wink, T. Maier, I. Ferrier-Barbut, and T. Pfau, “Observing the Rosensweig instability of a quantum ferrofluid,” Nature 530, 194–197 (2016).
[Crossref] [PubMed]

F. Wächtler and L. Santos, “Quantum filaments in dipolar Bose-Einstein condensates,” Phys. Rev. A 93, 061603 (2016).
[Crossref]

D. Baillie, R. M. Wilson, R. N. Bisset, and P. B. Blakie, “Self-bound dipolar droplet: A localized matter wave in free space,” Phys. Rev. A 94, 021602 (2016).
[Crossref]

I. Ferrier-Barbut, H. Kadau, M. Schmitt, M. Wenzel, and T. Pfau, “Observation of Quantum Droplets in a Strongly Dipolar Bose Gas,” Phys. Rev. Lett. 116, 215301 (2016).
[Crossref] [PubMed]

L. Chomaz, S. Baier, D. Petter, M. J. Mark, F. Wächtler, L. Santos, and F. Ferlaino, “Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid,” Phys. Rev. X 6, 041039 (2016).

M. Schmitt, M. Wenzel, F. Böttcher, I. Ferrier-Barbut, and T. Pfau, “Self-bound droplets of a dilute magnetic quantum liquid,” Nature 539, 259–262 (2016).
[Crossref] [PubMed]

U. Dammalapati, K. Harada, and Y. Sakemi, “Magic and tune-out wavelengths for atomic francium,” Phys. Rev. A 93, 043407 (2016).
[Crossref]

F. Schmidt, D. Mayer, M. Hohmann, T. Lausch, F. Kindermann, and A. Widera, “Precision measurement of the 87Rb tune-out wavelength in the hyperfine ground state F = 1 at 790 nm,” Phys. Rev. A 93, 022507 (2016).
[Crossref]

2015 (10)

B. M. Henson, R. I. Khakimov, R. G. Dall, K. G. H. Baldwin, L.-Y. Tang, and A. G. Truscott, “Precision Measurement for Metastable Helium Atoms of the 413 nm Tune-Out Wavelength at Which the Atomic Polarizability Vanishes,” Phys. Rev. Lett. 115, 043004 (2015).
[Crossref] [PubMed]

L. W. Clark, L.-C. Ha, C.-Y. Xu, and C. Chin, “Quantum Dynamics with Spatiotemporal Control of Interactions in a Stable Bose-Einstein Condensate,” Phys. Rev. Lett. 115, 155301 (2015).
[Crossref] [PubMed]

R. H. Leonard, A. J. Fallon, C. A. Sackett, and M. S. Safronova, “High-precision measurements of the 87Rb D-line tune-out wavelength,” Phys. Rev. A 92, 052501 (2015).
[Crossref]

Y. Tang, N. Q. Burdick, K. Baumann, and B. L. Lev, “Bose-Einstein condensation of 162Dy and 160Dy,” New J. Phys. 17, 045006 (2015).
[Crossref]

B. Naylor, A. Reigue, E. Maréchal, O. Gorceix, B. Laburthe-Tolra, and L. Vernac, “Chromium dipolar Fermi sea,” Phys. Rev. A 91, 011603 (2015).
[Crossref]

T.-S. Zeng and L. Yin, “Fractional quantum Hall states of dipolar gases in Chern bands,” Phys. Rev. B 91, 075102 (2015).
[Crossref]

D. Peter, N. Y. Yao, N. Lang, S. D. Huber, M. D. Lukin, and H. P. Büchler, “Topological bands with a Chern number C = 2 by dipolar exchange interactions,” Phys. Rev. A 91, 053617 (2015).
[Crossref]

N. Y. Yao, S. D. Bennett, C. R. Laumann, B. L. Lev, and A. V. Gorshkov, “Bilayer fractional quantum Hall states with dipoles,” Phys. Rev. A 92, 033609 (2015).
[Crossref]

V. D. Vaidya, J. Tiamsuphat, S. L. Rolston, and J. V. Porto, “Degenerate Bose-Fermi mixtures of rubidium and ytterbium,” Phys. Rev. A 92, 043604 (2015).
[Crossref]

L. Ma, J. Indergaard, B. Zhang, I. Larkin, R. Moro, and W. A. de Heer, “Measured atomic ground-state polarizabilities of 35 metallic elements,” Phys. Rev. A 91, 010501 (2015).
[Crossref]

2014 (4)

K. Baumann, N. Q. Burdick, M. Lu, and B. L. Lev, “Observation of low-field Fano-Feshbach resonances in ultracold gases of dysprosium,” Phys. Rev. A 89, 020701 (2014).
[Crossref]

M. Lepers, J.-F. Wyart, and O. Dulieu, “Anisotropic optical trapping of ultracold erbium atoms,” Phys. Rev. A 89, 022505 (2014).
[Crossref]

K. Aikawa, A. Frisch, M. Mark, S. Baier, R. Grimm, and F. Ferlaino, “Reaching Fermi degeneracy via universal dipolar scattering,” Phys. Rev. Lett. 112, 010404 (2014).
[Crossref] [PubMed]

J. Miao, J. Hostetter, G. Stratis, and M. Saffman, “Magneto-optical trapping of holmium atoms,” Phys. Rev. A 89, 041401 (2014).
[Crossref]

2013 (7)

S. R. Manmana, E. M. Stoudenmire, K. R. A. Hazzard, A. M. Rey, and A. V. Gorshkov, “Topological phases in ultracold polar-molecule quantum magnets,” Phys. Rev. B 87, 081106 (2013).
[Crossref]

Y. Cheng, J. Jiang, and J. Mitroy, “Tune-out wavelengths for the alkaline-earth-metal atoms,” Phys. Rev. A 88, 022511 (2013).
[Crossref]

D. C. McKay, C. Meldgin, D. Chen, and B. DeMarco, “Slow Thermalization between a Lattice and Free Bose Gas,” Phys. Rev. Lett. 111, 063002 (2013).
[Crossref] [PubMed]

T. Topcu and A. Derevianko, “Tune-out wavelengths and landscape-modulated polarizabilities of alkali-metal Rydberg atoms in infrared optical lattices,” Phys. Rev. A 88, 053406 (2013).
[Crossref]

P. Cheiney, C. M. Fabre, F. Vermersch, G. L. Gattobigio, R. Mathevet, T. Lahaye, and D. Guéry-Odelin, “Matter-wave scattering on an amplitude-modulated optical lattice,” Phys. Rev. A 87, 013623 (2013).
[Crossref]

M. Yan, B. J. DeSalvo, B. Ramachandhran, H. Pu, and T. C. Killian, “Controlling Condensate Collapse and Expansion with an Optical Feshbach Resonance,” Phys. Rev. Lett. 110, 123201 (2013).
[Crossref] [PubMed]

Z. Fu, P. Wang, L. Huang, Z. Meng, H. Hu, and J. Zhang, “Optical control of a magnetic Feshbach resonance in an ultracold Fermi gas,” Phys. Rev. A 88, 041601 (2013).
[Crossref]

2012 (4)

G.-B. Jo, J. Guzman, C. K. Thomas, P. Hosur, A. Vishwanath, and D. M. Stamper-Kurn, “Ultracold Atoms in a Tunable Optical Kagome Lattice,” Phys. Rev. Lett. 108, 045305 (2012).
[Crossref] [PubMed]

C. D. Herold, V. D. Vaidya, X. Li, S. L. Rolston, J. V. Porto, and M. S. Safronova, “Precision measurement of transition matrix elements via light shift cancellation,” Phys. Rev. Lett. 109, 243003 (2012).
[Crossref]

M. Lu, N. Q. Burdick, and B. L. Lev, “Quantum degenerate dipolar Fermi gas,” Phys. Rev. Lett. 108, 215301 (2012).
[Crossref] [PubMed]

K. Aikawa, A. Frisch, M. Mark, S. Baier, A. Rietzler, R. Grimm, and F. Ferlaino, “Bose-Einstein Condensation of Erbium,” Phys. Rev. Lett. 108, 210401 (2012).
[Crossref] [PubMed]

2011 (5)

B. Arora, M. S. Safronova, and C. W. Clark, “Tune-out wavelengths of alkali-metal atoms and their applications,” Phys. Rev. A 84, 043401 (2011).
[Crossref]

M. Lu, N. Q. Burdick, S. H. Youn, and B. L. Lev, “Strongly Dipolar Bose-Einstein Condensate of Dysprosium,” Phys. Rev. Lett. 107, 190401 (2011).
[Crossref] [PubMed]

M. Lu, S. H. Youn, and B. L. Lev, “Spectroscopy of a narrow-line laser-cooling transition in atomic dysprosium,” Phys. Rev. A 83, 012510 (2011).
[Crossref]

V. A. Dzuba, V. V. Flambaum, and B. L. Lev, “Dynamic polarizabilities and magic wavelengths for dysprosium,” Phys. Rev. A 83, 032502 (2011).
[Crossref]

Y. J. Lin, K. Jiménez-García, and I. B. Spielman, “Spin-orbit-coupled Bose-Einstein condensates,” Nature 471, 83–86 (2011).
[Crossref] [PubMed]

2010 (5)

M. Bruderer, T. H. Johnson, S. R. Clark, D. Jaksch, A. Posazhennikova, and W. Belzig, “Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices,” Phys. Rev. A 82, 043617 (2010).
[Crossref]

J. Mitroy, M. S. Safronova, and C. W. Clark, “Theory and applications of atomic and ionic polarizabilities,” J. Phys. B: At. Mol. Opt. Phys. 43, 202001 (2010).
[Crossref]

M. Lu, S. H. Youn, and B. L. Lev, “Trapping Ultracold Dysprosium: A Highly Magnetic Gas for Dipolar Physics,” Phys. Rev. Lett. 104, 063001 (2010).
[Crossref] [PubMed]

S. H. Youn, M. Lu, U. Ray, and B. L. Lev, “Dysprosium magneto-optical traps,” Phys. Rev. A 82, 043425 (2010).
[Crossref]

D. Sukachev, A. Sokolov, K. Chebakov, A. Akimov, S. Kanorsky, N. Kolachevsky, and V. Sorokin, “Magneto-optical trap for thulium atoms,” Phys. Rev. A 82, 011405 (2010).
[Crossref]

2009 (4)

J. Catani, G. Barontini, G. Lamporesi, F. Rabatti, G. Thalhammer, F. Minardi, S. Stringari, and M. Inguscio, “Entropy Exchange in a Mixture of Ultracold Atoms,” Phys. Rev. Lett. 103, 140401 (2009).
[Crossref] [PubMed]

D. M. Bauer, M. Lettner, C. Vo, G. Rempe, and S. Dürr, “Combination of a magnetic Feshbach resonance and an optical bound-to-bound transition,” Phys. Rev. A 79, 062713 (2009).
[Crossref]

B. Gadway, D. Pertot, R. Reimann, M. G. Cohen, and D. Schneble, “Analysis of Kapitza-Dirac diffraction patterns beyond the Raman-Nath regime,” Opt. Express 17, 19173–19180 (2009).
[Crossref]

Y. J. Lin, R. L. Compton, K. Jiménez-García, J. V. Porto, and I. B. Spielman, “Synthetic magnetic fields for ultracold neutral atoms,” Nature 462, 628–632 (2009).
[Crossref] [PubMed]

2007 (1)

L. J. LeBlanc and J. H. Thywissen, “Species-specific optical lattices,” Phys. Rev. A 75, 053612 (2007).
[Crossref]

2006 (3)

J. J. McClelland and J. L. Hanssen, “Laser Cooling without Repumping: A Magneto-Optical Trap for Erbium Atoms,” Phys. Rev. Lett. 96, 143005 (2006).
[Crossref] [PubMed]

A. Griessner, A. J. Daley, S. R. Clark, D. Jaksch, and P. Zoller, “Dark-State Cooling of Atoms by Superfluid Immersion,” Phys. Rev. Lett. 97, 220403 (2006).
[Crossref] [PubMed]

J. M. Geremia, J. K. Stockton, and H. Mabuchi, “Tensor polarizability and dispersive quantum measurement of multilevel atoms,” Phys. Rev. A 73, 042112 (2006).
[Crossref]

2005 (1)

A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, and T. Pfau, “Bose-Einstein Condensation of Chromium,” Phys. Rev. Lett. 94, 160401 (2005).
[Crossref] [PubMed]

2004 (1)

H. Ott, E. de Mirandes, F. Ferlaino, G. Roati, G. Modugno, and M. Inguscio, “Collisionally Induced Transport in Periodic Potentials,” Phys. Rev. Lett. 92, 160601 (2004).
[Crossref] [PubMed]

2003 (1)

H. Pu, L. O. Baksmaty, W. Zhang, N. P. Bigelow, and P. Meystre, “Effective-mass analysis of Bose-Einstein condensates in optical lattices: Stabilization and levitation,” Phys. Rev. A 67, 043605 (2003).
[Crossref]

2002 (1)

M. Krämer, L. Pitaevskii, and S. Stringari, “Macroscopic Dynamics of a Trapped Bose-Einstein Condensate in the Presence of 1D and 2D Optical Lattices,” Phys. Rev. Lett. 88, 180404 (2002).
[Crossref] [PubMed]

2000 (1)

C. C. Bradley, J. J. McClelland, W. R. Anderson, and R. J. Celotta, “Magneto-optical trapping of chromium atoms,” Phys. Rev. A 61, 053407 (2000).
[Crossref]

1998 (1)

I. H. Deutsch and P. S. Jessen, “Quantum-state control in optical lattices,” Phys. Rev. A 57, 1972–1986 (1998).
[Crossref]

1995 (1)

G. Birkl, M. Gatzke, I. H. Deutsch, S. L. Rolston, and W. D. Phillips, “Bragg scattering from atoms in optical lattices,” Phys. Rev. Lett. 75, 2823–2826 (1995).
[Crossref] [PubMed]

1933 (1)

P. L. Kapitza and P. A. M. Dirac, “The reflection of electrons from standing light waves,” Math. Proc. Cambridge Philos. Soc. 29, 297–300 (1933).
[Crossref]

Aikawa, K.

S. Baier, M. J. Mark, D. Petter, K. Aikawa, L. Chomaz, Z. Cai, M. Baranov, P. Zoller, and F. Ferlaino, “Extended Bose-Hubbard models with ultracold magnetic atoms,” Science 352, 201 (2016).
[Crossref] [PubMed]

K. Aikawa, A. Frisch, M. Mark, S. Baier, R. Grimm, and F. Ferlaino, “Reaching Fermi degeneracy via universal dipolar scattering,” Phys. Rev. Lett. 112, 010404 (2014).
[Crossref] [PubMed]

K. Aikawa, A. Frisch, M. Mark, S. Baier, A. Rietzler, R. Grimm, and F. Ferlaino, “Bose-Einstein Condensation of Erbium,” Phys. Rev. Lett. 108, 210401 (2012).
[Crossref] [PubMed]

Akimov, A.

D. Sukachev, A. Sokolov, K. Chebakov, A. Akimov, S. Kanorsky, N. Kolachevsky, and V. Sorokin, “Magneto-optical trap for thulium atoms,” Phys. Rev. A 82, 011405 (2010).
[Crossref]

Anderson, W. R.

C. C. Bradley, J. J. McClelland, W. R. Anderson, and R. J. Celotta, “Magneto-optical trapping of chromium atoms,” Phys. Rev. A 61, 053407 (2000).
[Crossref]

Arora, B.

B. Arora, M. S. Safronova, and C. W. Clark, “Tune-out wavelengths of alkali-metal atoms and their applications,” Phys. Rev. A 84, 043401 (2011).
[Crossref]

Baier, S.

S. Baier, M. J. Mark, D. Petter, K. Aikawa, L. Chomaz, Z. Cai, M. Baranov, P. Zoller, and F. Ferlaino, “Extended Bose-Hubbard models with ultracold magnetic atoms,” Science 352, 201 (2016).
[Crossref] [PubMed]

L. Chomaz, S. Baier, D. Petter, M. J. Mark, F. Wächtler, L. Santos, and F. Ferlaino, “Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid,” Phys. Rev. X 6, 041039 (2016).

K. Aikawa, A. Frisch, M. Mark, S. Baier, R. Grimm, and F. Ferlaino, “Reaching Fermi degeneracy via universal dipolar scattering,” Phys. Rev. Lett. 112, 010404 (2014).
[Crossref] [PubMed]

K. Aikawa, A. Frisch, M. Mark, S. Baier, A. Rietzler, R. Grimm, and F. Ferlaino, “Bose-Einstein Condensation of Erbium,” Phys. Rev. Lett. 108, 210401 (2012).
[Crossref] [PubMed]

Baillie, D.

D. Baillie, R. M. Wilson, R. N. Bisset, and P. B. Blakie, “Self-bound dipolar droplet: A localized matter wave in free space,” Phys. Rev. A 94, 021602 (2016).
[Crossref]

Baksmaty, L. O.

H. Pu, L. O. Baksmaty, W. Zhang, N. P. Bigelow, and P. Meystre, “Effective-mass analysis of Bose-Einstein condensates in optical lattices: Stabilization and levitation,” Phys. Rev. A 67, 043605 (2003).
[Crossref]

Baldwin, K. G. H.

B. M. Henson, R. I. Khakimov, R. G. Dall, K. G. H. Baldwin, L.-Y. Tang, and A. G. Truscott, “Precision Measurement for Metastable Helium Atoms of the 413 nm Tune-Out Wavelength at Which the Atomic Polarizability Vanishes,” Phys. Rev. Lett. 115, 043004 (2015).
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Baranov, M.

S. Baier, M. J. Mark, D. Petter, K. Aikawa, L. Chomaz, Z. Cai, M. Baranov, P. Zoller, and F. Ferlaino, “Extended Bose-Hubbard models with ultracold magnetic atoms,” Science 352, 201 (2016).
[Crossref] [PubMed]

Barontini, G.

J. Catani, G. Barontini, G. Lamporesi, F. Rabatti, G. Thalhammer, F. Minardi, S. Stringari, and M. Inguscio, “Entropy Exchange in a Mixture of Ultracold Atoms,” Phys. Rev. Lett. 103, 140401 (2009).
[Crossref] [PubMed]

Bauer, D. M.

D. M. Bauer, M. Lettner, C. Vo, G. Rempe, and S. Dürr, “Combination of a magnetic Feshbach resonance and an optical bound-to-bound transition,” Phys. Rev. A 79, 062713 (2009).
[Crossref]

Baumann, K.

Y. Tang, N. Q. Burdick, K. Baumann, and B. L. Lev, “Bose-Einstein condensation of 162Dy and 160Dy,” New J. Phys. 17, 045006 (2015).
[Crossref]

K. Baumann, N. Q. Burdick, M. Lu, and B. L. Lev, “Observation of low-field Fano-Feshbach resonances in ultracold gases of dysprosium,” Phys. Rev. A 89, 020701 (2014).
[Crossref]

Belzig, W.

M. Bruderer, T. H. Johnson, S. R. Clark, D. Jaksch, A. Posazhennikova, and W. Belzig, “Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices,” Phys. Rev. A 82, 043617 (2010).
[Crossref]

Bennett, S. D.

N. Y. Yao, S. D. Bennett, C. R. Laumann, B. L. Lev, and A. V. Gorshkov, “Bilayer fractional quantum Hall states with dipoles,” Phys. Rev. A 92, 033609 (2015).
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Bigelow, N. P.

H. Pu, L. O. Baksmaty, W. Zhang, N. P. Bigelow, and P. Meystre, “Effective-mass analysis of Bose-Einstein condensates in optical lattices: Stabilization and levitation,” Phys. Rev. A 67, 043605 (2003).
[Crossref]

Birkl, G.

G. Birkl, M. Gatzke, I. H. Deutsch, S. L. Rolston, and W. D. Phillips, “Bragg scattering from atoms in optical lattices,” Phys. Rev. Lett. 75, 2823–2826 (1995).
[Crossref] [PubMed]

Bisset, R. N.

D. Baillie, R. M. Wilson, R. N. Bisset, and P. B. Blakie, “Self-bound dipolar droplet: A localized matter wave in free space,” Phys. Rev. A 94, 021602 (2016).
[Crossref]

Blakie, P. B.

D. Baillie, R. M. Wilson, R. N. Bisset, and P. B. Blakie, “Self-bound dipolar droplet: A localized matter wave in free space,” Phys. Rev. A 94, 021602 (2016).
[Crossref]

Böttcher, F.

M. Schmitt, M. Wenzel, F. Böttcher, I. Ferrier-Barbut, and T. Pfau, “Self-bound droplets of a dilute magnetic quantum liquid,” Nature 539, 259–262 (2016).
[Crossref] [PubMed]

Bradley, C. C.

C. C. Bradley, J. J. McClelland, W. R. Anderson, and R. J. Celotta, “Magneto-optical trapping of chromium atoms,” Phys. Rev. A 61, 053407 (2000).
[Crossref]

Bruderer, M.

M. Bruderer, T. H. Johnson, S. R. Clark, D. Jaksch, A. Posazhennikova, and W. Belzig, “Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices,” Phys. Rev. A 82, 043617 (2010).
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Büchler, H. P.

D. Peter, N. Y. Yao, N. Lang, S. D. Huber, M. D. Lukin, and H. P. Büchler, “Topological bands with a Chern number C = 2 by dipolar exchange interactions,” Phys. Rev. A 91, 053617 (2015).
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Burdick, N. Q.

N. Q. Burdick, Y. Tang, and B. L. Lev, “Long-lived spin-orbit-coupled degenerate dipolar Fermi gas,” Phys. Rev. X 6, 031022 (2016).

Y. Tang, N. Q. Burdick, K. Baumann, and B. L. Lev, “Bose-Einstein condensation of 162Dy and 160Dy,” New J. Phys. 17, 045006 (2015).
[Crossref]

K. Baumann, N. Q. Burdick, M. Lu, and B. L. Lev, “Observation of low-field Fano-Feshbach resonances in ultracold gases of dysprosium,” Phys. Rev. A 89, 020701 (2014).
[Crossref]

M. Lu, N. Q. Burdick, and B. L. Lev, “Quantum degenerate dipolar Fermi gas,” Phys. Rev. Lett. 108, 215301 (2012).
[Crossref] [PubMed]

M. Lu, N. Q. Burdick, S. H. Youn, and B. L. Lev, “Strongly Dipolar Bose-Einstein Condensate of Dysprosium,” Phys. Rev. Lett. 107, 190401 (2011).
[Crossref] [PubMed]

Cai, Z.

S. Baier, M. J. Mark, D. Petter, K. Aikawa, L. Chomaz, Z. Cai, M. Baranov, P. Zoller, and F. Ferlaino, “Extended Bose-Hubbard models with ultracold magnetic atoms,” Science 352, 201 (2016).
[Crossref] [PubMed]

Catani, J.

J. Catani, G. Barontini, G. Lamporesi, F. Rabatti, G. Thalhammer, F. Minardi, S. Stringari, and M. Inguscio, “Entropy Exchange in a Mixture of Ultracold Atoms,” Phys. Rev. Lett. 103, 140401 (2009).
[Crossref] [PubMed]

Celotta, R. J.

C. C. Bradley, J. J. McClelland, W. R. Anderson, and R. J. Celotta, “Magneto-optical trapping of chromium atoms,” Phys. Rev. A 61, 053407 (2000).
[Crossref]

Chebakov, K.

D. Sukachev, A. Sokolov, K. Chebakov, A. Akimov, S. Kanorsky, N. Kolachevsky, and V. Sorokin, “Magneto-optical trap for thulium atoms,” Phys. Rev. A 82, 011405 (2010).
[Crossref]

Cheiney, P.

P. Cheiney, C. M. Fabre, F. Vermersch, G. L. Gattobigio, R. Mathevet, T. Lahaye, and D. Guéry-Odelin, “Matter-wave scattering on an amplitude-modulated optical lattice,” Phys. Rev. A 87, 013623 (2013).
[Crossref]

Chen, D.

D. C. McKay, C. Meldgin, D. Chen, and B. DeMarco, “Slow Thermalization between a Lattice and Free Bose Gas,” Phys. Rev. Lett. 111, 063002 (2013).
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Cheng, Y.

Y. Cheng, J. Jiang, and J. Mitroy, “Tune-out wavelengths for the alkaline-earth-metal atoms,” Phys. Rev. A 88, 022511 (2013).
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Chin, C.

L. W. Clark, L.-C. Ha, C.-Y. Xu, and C. Chin, “Quantum Dynamics with Spatiotemporal Control of Interactions in a Stable Bose-Einstein Condensate,” Phys. Rev. Lett. 115, 155301 (2015).
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Chomaz, L.

S. Baier, M. J. Mark, D. Petter, K. Aikawa, L. Chomaz, Z. Cai, M. Baranov, P. Zoller, and F. Ferlaino, “Extended Bose-Hubbard models with ultracold magnetic atoms,” Science 352, 201 (2016).
[Crossref] [PubMed]

L. Chomaz, S. Baier, D. Petter, M. J. Mark, F. Wächtler, L. Santos, and F. Ferlaino, “Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid,” Phys. Rev. X 6, 041039 (2016).

Clark, C. W.

B. Arora, M. S. Safronova, and C. W. Clark, “Tune-out wavelengths of alkali-metal atoms and their applications,” Phys. Rev. A 84, 043401 (2011).
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J. Mitroy, M. S. Safronova, and C. W. Clark, “Theory and applications of atomic and ionic polarizabilities,” J. Phys. B: At. Mol. Opt. Phys. 43, 202001 (2010).
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Clark, L. W.

L. W. Clark, L.-C. Ha, C.-Y. Xu, and C. Chin, “Quantum Dynamics with Spatiotemporal Control of Interactions in a Stable Bose-Einstein Condensate,” Phys. Rev. Lett. 115, 155301 (2015).
[Crossref] [PubMed]

Clark, S. R.

M. Bruderer, T. H. Johnson, S. R. Clark, D. Jaksch, A. Posazhennikova, and W. Belzig, “Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices,” Phys. Rev. A 82, 043617 (2010).
[Crossref]

A. Griessner, A. J. Daley, S. R. Clark, D. Jaksch, and P. Zoller, “Dark-State Cooling of Atoms by Superfluid Immersion,” Phys. Rev. Lett. 97, 220403 (2006).
[Crossref] [PubMed]

Cohen, M. G.

Compton, R. L.

Y. J. Lin, R. L. Compton, K. Jiménez-García, J. V. Porto, and I. B. Spielman, “Synthetic magnetic fields for ultracold neutral atoms,” Nature 462, 628–632 (2009).
[Crossref] [PubMed]

Daley, A. J.

A. Griessner, A. J. Daley, S. R. Clark, D. Jaksch, and P. Zoller, “Dark-State Cooling of Atoms by Superfluid Immersion,” Phys. Rev. Lett. 97, 220403 (2006).
[Crossref] [PubMed]

Dall, R. G.

B. M. Henson, R. I. Khakimov, R. G. Dall, K. G. H. Baldwin, L.-Y. Tang, and A. G. Truscott, “Precision Measurement for Metastable Helium Atoms of the 413 nm Tune-Out Wavelength at Which the Atomic Polarizability Vanishes,” Phys. Rev. Lett. 115, 043004 (2015).
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Dammalapati, U.

U. Dammalapati, K. Harada, and Y. Sakemi, “Magic and tune-out wavelengths for atomic francium,” Phys. Rev. A 93, 043407 (2016).
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de Heer, W. A.

L. Ma, J. Indergaard, B. Zhang, I. Larkin, R. Moro, and W. A. de Heer, “Measured atomic ground-state polarizabilities of 35 metallic elements,” Phys. Rev. A 91, 010501 (2015).
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de Mirandes, E.

H. Ott, E. de Mirandes, F. Ferlaino, G. Roati, G. Modugno, and M. Inguscio, “Collisionally Induced Transport in Periodic Potentials,” Phys. Rev. Lett. 92, 160601 (2004).
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DeMarco, B.

D. C. McKay, C. Meldgin, D. Chen, and B. DeMarco, “Slow Thermalization between a Lattice and Free Bose Gas,” Phys. Rev. Lett. 111, 063002 (2013).
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Derevianko, A.

T. Topcu and A. Derevianko, “Tune-out wavelengths and landscape-modulated polarizabilities of alkali-metal Rydberg atoms in infrared optical lattices,” Phys. Rev. A 88, 053406 (2013).
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M. Yan, B. J. DeSalvo, B. Ramachandhran, H. Pu, and T. C. Killian, “Controlling Condensate Collapse and Expansion with an Optical Feshbach Resonance,” Phys. Rev. Lett. 110, 123201 (2013).
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I. H. Deutsch and P. S. Jessen, “Quantum-state control in optical lattices,” Phys. Rev. A 57, 1972–1986 (1998).
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G. Birkl, M. Gatzke, I. H. Deutsch, S. L. Rolston, and W. D. Phillips, “Bragg scattering from atoms in optical lattices,” Phys. Rev. Lett. 75, 2823–2826 (1995).
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Dirac, P. A. M.

P. L. Kapitza and P. A. M. Dirac, “The reflection of electrons from standing light waves,” Math. Proc. Cambridge Philos. Soc. 29, 297–300 (1933).
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Dulieu, O.

H. Li, J.-F. Wyart, O. Dulieu, S. Nascimbène, and M. Lepers, “Optical trapping of ultracold dysprosium atoms: transition probabilities, dynamic dipole polarizabilities and van der Waals C6 coefficients,” J. Phys. B 50, 014005 (2017).
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M. Lepers, J.-F. Wyart, and O. Dulieu, “Anisotropic optical trapping of ultracold erbium atoms,” Phys. Rev. A 89, 022505 (2014).
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D. M. Bauer, M. Lettner, C. Vo, G. Rempe, and S. Dürr, “Combination of a magnetic Feshbach resonance and an optical bound-to-bound transition,” Phys. Rev. A 79, 062713 (2009).
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V. A. Dzuba, V. V. Flambaum, and B. L. Lev, “Dynamic polarizabilities and magic wavelengths for dysprosium,” Phys. Rev. A 83, 032502 (2011).
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P. Cheiney, C. M. Fabre, F. Vermersch, G. L. Gattobigio, R. Mathevet, T. Lahaye, and D. Guéry-Odelin, “Matter-wave scattering on an amplitude-modulated optical lattice,” Phys. Rev. A 87, 013623 (2013).
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R. H. Leonard, A. J. Fallon, C. A. Sackett, and M. S. Safronova, “High-precision measurements of the 87Rb D-line tune-out wavelength,” Phys. Rev. A 92, 052501 (2015).
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L. Chomaz, S. Baier, D. Petter, M. J. Mark, F. Wächtler, L. Santos, and F. Ferlaino, “Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid,” Phys. Rev. X 6, 041039 (2016).

S. Baier, M. J. Mark, D. Petter, K. Aikawa, L. Chomaz, Z. Cai, M. Baranov, P. Zoller, and F. Ferlaino, “Extended Bose-Hubbard models with ultracold magnetic atoms,” Science 352, 201 (2016).
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K. Aikawa, A. Frisch, M. Mark, S. Baier, R. Grimm, and F. Ferlaino, “Reaching Fermi degeneracy via universal dipolar scattering,” Phys. Rev. Lett. 112, 010404 (2014).
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K. Aikawa, A. Frisch, M. Mark, S. Baier, A. Rietzler, R. Grimm, and F. Ferlaino, “Bose-Einstein Condensation of Erbium,” Phys. Rev. Lett. 108, 210401 (2012).
[Crossref] [PubMed]

H. Ott, E. de Mirandes, F. Ferlaino, G. Roati, G. Modugno, and M. Inguscio, “Collisionally Induced Transport in Periodic Potentials,” Phys. Rev. Lett. 92, 160601 (2004).
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I. Ferrier-Barbut, H. Kadau, M. Schmitt, M. Wenzel, and T. Pfau, “Observation of Quantum Droplets in a Strongly Dipolar Bose Gas,” Phys. Rev. Lett. 116, 215301 (2016).
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H. Kadau, M. Schmitt, M. Wenzel, C. Wink, T. Maier, I. Ferrier-Barbut, and T. Pfau, “Observing the Rosensweig instability of a quantum ferrofluid,” Nature 530, 194–197 (2016).
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M. Schmitt, M. Wenzel, F. Böttcher, I. Ferrier-Barbut, and T. Pfau, “Self-bound droplets of a dilute magnetic quantum liquid,” Nature 539, 259–262 (2016).
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V. A. Dzuba, V. V. Flambaum, and B. L. Lev, “Dynamic polarizabilities and magic wavelengths for dysprosium,” Phys. Rev. A 83, 032502 (2011).
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K. Aikawa, A. Frisch, M. Mark, S. Baier, R. Grimm, and F. Ferlaino, “Reaching Fermi degeneracy via universal dipolar scattering,” Phys. Rev. Lett. 112, 010404 (2014).
[Crossref] [PubMed]

K. Aikawa, A. Frisch, M. Mark, S. Baier, A. Rietzler, R. Grimm, and F. Ferlaino, “Bose-Einstein Condensation of Erbium,” Phys. Rev. Lett. 108, 210401 (2012).
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Z. Fu, P. Wang, L. Huang, Z. Meng, H. Hu, and J. Zhang, “Optical control of a magnetic Feshbach resonance in an ultracold Fermi gas,” Phys. Rev. A 88, 041601 (2013).
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Gattobigio, G. L.

P. Cheiney, C. M. Fabre, F. Vermersch, G. L. Gattobigio, R. Mathevet, T. Lahaye, and D. Guéry-Odelin, “Matter-wave scattering on an amplitude-modulated optical lattice,” Phys. Rev. A 87, 013623 (2013).
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G. Birkl, M. Gatzke, I. H. Deutsch, S. L. Rolston, and W. D. Phillips, “Bragg scattering from atoms in optical lattices,” Phys. Rev. Lett. 75, 2823–2826 (1995).
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J. M. Geremia, J. K. Stockton, and H. Mabuchi, “Tensor polarizability and dispersive quantum measurement of multilevel atoms,” Phys. Rev. A 73, 042112 (2006).
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B. Naylor, A. Reigue, E. Maréchal, O. Gorceix, B. Laburthe-Tolra, and L. Vernac, “Chromium dipolar Fermi sea,” Phys. Rev. A 91, 011603 (2015).
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N. Y. Yao, S. D. Bennett, C. R. Laumann, B. L. Lev, and A. V. Gorshkov, “Bilayer fractional quantum Hall states with dipoles,” Phys. Rev. A 92, 033609 (2015).
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A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, and T. Pfau, “Bose-Einstein Condensation of Chromium,” Phys. Rev. Lett. 94, 160401 (2005).
[Crossref] [PubMed]

Griessner, A.

A. Griessner, A. J. Daley, S. R. Clark, D. Jaksch, and P. Zoller, “Dark-State Cooling of Atoms by Superfluid Immersion,” Phys. Rev. Lett. 97, 220403 (2006).
[Crossref] [PubMed]

Grimm, R.

K. Aikawa, A. Frisch, M. Mark, S. Baier, R. Grimm, and F. Ferlaino, “Reaching Fermi degeneracy via universal dipolar scattering,” Phys. Rev. Lett. 112, 010404 (2014).
[Crossref] [PubMed]

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Phys. Rev. B (2)

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Phys. Rev. Lett. (19)

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Science (1)

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Figures (4)

Fig. 1
Fig. 1

Schematic of lattice beam (red arrow; with polarization ϵ ^) geometry used to measure lattice depth by KD diffraction of the BEC (blue sphere). Green arrows indicate direction of the applied magnetic field.

Fig. 2
Fig. 2

Fractional first-order diffracted population at a constant laser power and wavelength. Each point is an average of three measurements shown with 1σ standard error. For optimal SNR, we use the maximum pulse number up to which the quadratic enhancement holds (i.e., np = 10). The first six data points are fit to Eq. (1). The dashed line is the resulting fit, which yields a measured lattice depth of U0 = 0.20ER.

Fig. 3
Fig. 3

Experimentally measured lattice depth versus detuning from the 741-nm transition for θ = 0 (triangles) and θ = π/2 (squares). Each point is an average of three measurements, and the lines are fits to the expected functional form of the Stark shift from Eq. (3). Error bars are 1σ standard error.

Fig. 4
Fig. 4

(a) Calculated total light shift (arbitrary unit) versus detuning from the 741-nm line for both θ = 0 and θ = π/2. The arrows indicate the positions of the measured Δ0 points. The 160-GHz window corresponds to 5 cm−1. (b) Calculated total light shift (arbitrary unit) for both polarizations between laser frequencies (wavelengths) DC and 24,000 cm−1 (417 nm). The cycling transitions (JJ′ = J + 1) are indicated in turquoise [4, 59]. The large anisotropy at far-off resonant frequencies is likely a result of incomplete knowledge of atomic transition data; see main text for details.

Equations (4)

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P 1 = n p 2 | U 0 | 2 32 E r 2 ,
Δ U ( F , m F ) = α ( 0 ) | E 0 ( + ) | 2 α ( 1 ) [ i E 0 ( ) × E 0 ( + ) ] z m F F α ( 2 ) | E 0 ( + ) | 2 ( 3 cos 2 θ 1 2 ) [ 3 m F 2 F ( F + 1 ) F ( 2 F 1 ) ] , α ( 0 ) = 2 ω F F | F | | d | | F | 2 3 ( 2 F + 1 ) ( ω F F 2 ω 2 ) , α ( 1 ) = ( 1 ) F + F + 1 6 F ( F + 1 ) ( 2 F + 1 ) { 1 1 1 F F F } ω | F | | d | | F | 2 ( ω F F 2 ω 2 ) , α ( 2 ) = ( 1 ) F + F 40 F ( 2 F 1 ) 3 ( F + 1 ) ( 2 F + 1 ) ( 2 F + 3 ) { 1 1 2 F F F } ω F F | F | | d | | F | 2 ( ω F F 2 ω 2 ) ,
U 0 = A + B Δ
E ( μ 741 ) = θ = 0 , π / 2 [ Δ 0 th ( θ ) Δ 0 ( θ ) ] μ 741 2 ,

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