Experimental Realization of Strong Effective Magnetic Fields in an Optical Lattice
Open accessAbstract
We use Raman-assisted tunneling in an optical superlattice to generate large tunable effective magnetic fields for ultracold atoms. When hopping in the lattice, the accumulated phase shift by an atom is equivalent to the Aharonov-Bohm phase of a charged particle exposed to a staggered magnetic field of large magnitude, on the order of 1 flux quantum per plaquette. We study the ground state of this system and observe that the frustration induced by the magnetic field can lead to a degenerate ground state for noninteracting particles. We provide a measurement of the local phase acquired from Raman-induced tunneling, demonstrating time-reversal symmetry breaking of the underlying Hamiltonian. Furthermore, the quantum cyclotron orbit of single atoms in the lattice exposed to the magnetic field is directly revealed.
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Control over the sign can be acquired by dynamical modulation of the lattice, Raman-assisted tunneling or embedding defects in infinite arrays.
“Control over this sign can be acquired by dynamical modulation of the lattice [16-21], Raman-assisted tunneling [22, 23] or embedding defects in infinite arrays [24].”
From Universal Sign Control of Coupling in Tight-Binding Lattices (2016) · cites this paper as [23]
Cites
Many-body physics with ultracold gases
Bloch, I., Dalibard, J., & Zwerger, W. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.885 · Cited by 8,114 · see citing works
Self-citationHaldane, F. D. M. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.2015 · Cited by 6,301 · see citing works
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
Laughlin, R. B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1395 · Cited by 5,749 · see citing works
Two-Dimensional Magnetotransport in the Extreme Quantum Limit
Tsui, D. C., Stormer, H. L., & Gossard, A. C. (1982) · Physical Review Letters · doi:10.1103/physrevlett.48.1559 · Cited by 4,788 · see citing works
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Hofstadter, D. R. (1976) · Physical Review B · doi:10.1103/physrevb.14.2239 · Cited by 3,495 · see citing works
Vortex Formation in a Stirred Bose-Einstein Condensate
Madison, K. W., Chevy, F., Wohlleben, W., & Dalibard, J. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.806 · Cited by 1,877 · see citing works
Observation of Vortex Lattices in Bose-Einstein Condensates
Abo-Shaeer, J. R., Raman, C., Vogels, J. M. M. J., & Ketterle, W. (2001) · Science · doi:10.1126/science.1060182 · Cited by 1,515 · see citing works
Single Band Motion of Conduction Electrons in a Uniform Magnetic Field
Harper, P. G. (1955) · Proceedings of the Physical Society. Section A · doi:10.1088/0370-1298/68/10/304 · Cited by 1,416 · see citing works
Synthetic magnetic fields for ultracold neutral atoms
Lin, Y.-J., Compton, R. L., Jiménez-García, K., Porto, J. V., & Spielman, I. B. (2009) · Nature · doi:10.1038/nature08609 · Cited by 1,318 · see citing works
Rotating trapped Bose-Einstein condensates
Fetter, A. L. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.647 · Cited by 1,154 · see citing works
Jaksch, D., & Zoller, P. (2003) · New Journal of Physics · doi:10.1088/1367-2630/5/1/356 · Cited by 777 · see citing works
Quantum Simulation of Frustrated Classical Magnetism in Triangular Optical Lattices
Struck, J., Ölschläger, C., Le Targat, R., Soltan-Panahi, P., Eckardt, A., Lewenstein, M., Windpassinger, P., & Sengstock, K. (2011) · Science · doi:10.1126/science.1207239 · Cited by 669 · see citing works
Cooper, N. R. (2008) · Advances In Physics · doi:10.1080/00018730802564122 · Cited by 625 · see citing works
Direct observation of second-order atom tunnelling
Fölling, S., Trotzky, S., Cheinet, P., Feld, M., Saers, R., Widera, A., Müller, T., & Bloch, I. (2007) · Nature · doi:10.1038/nature06112 · Cited by 595 · see citing works
Self-citationBloch Electrons in a Magnetic Field
Blount, E. I. (1962) · Physical Review · doi:10.1103/physrev.126.1636 · Cited by 494 · see citing works
Fractional Quantum Hall States of Atoms in Optical Lattices
Sørensen, A. S., Demler, E., & Lukin, M. D. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.086803 · Cited by 481 · see citing works
Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
Cooper, N. R., Wilkin, N. K., & Gunn, J. M. F. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.120405 · Cited by 457 · see citing works
Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
Schweikhard, V., Coddington, I. R., Engels, P., Mogendorff, V. P., & Cornell, E. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.040404 · Cited by 436 · see citing works
Fast Rotation of a Bose-Einstein Condensate
Bretin, V., Stock, S., Seurin, Y., & Dalibard, J. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.050403 · Cited by 390 · see citing works
Gauge fields for ultracold atoms in optical superlattices
Gerbier, F., & Dalibard, J. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/3/033007 · Cited by 294 · see citing works
Fractional quantum Hall effect in optical lattices
Hafezi, M., Sørensen, A. S., Demler, E., & Lukin, M. D. (2007) · Physical Review A · doi:10.1103/physreva.76.023613 · Cited by 274 · see citing works
Artificial electromagnetism for neutral atoms: Escher staircase and Laughlin liquids
Mueller, E. J. (2004) · Physical Review A · doi:10.1103/physreva.70.041603 · Cited by 184 · see citing works
Optical Flux Lattices for Ultracold Atomic Gases
Cooper, N. R. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.175301 · Cited by 180 · see citing works
Creating artificial magnetic fields for cold atoms by photon-assisted tunneling
Kolovsky, A. R. (2011) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/93/20003 · Cited by 161 · see citing works
High-Field Fractional Quantum Hall Effect in Optical Lattices
Palmer, R. N., & Jaksch, D. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.180407 · Cited by 152 · see citing works
Staggered-Vortex Superfluid of Ultracold Bosons in an Optical Lattice
Lim, L.-K., Smith, C. M., & Hemmerich, A. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.130402 · Cited by 138 · see citing works
Condensed ground states of frustrated Bose-Hubbard models
Möller, G., & Cooper, N. R. (2010) · Physical Review A · doi:10.1103/physreva.82.063625 · Cited by 61 · see citing works
Artificial staggered magnetic field for ultracold atoms in optical lattices
Lim, L.-K., Hemmerich, A., & Smith, C. M. (2010) · Physical Review A · doi:10.1103/physreva.81.023404 · Cited by 60 · see citing works
Optical flux lattices for two-photon dressed states
Cooper, N. R., & Dalibard, J. (2011) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/95/66004 · Cited by 54 · see citing works
Wang, Y.-F., & Gong, C.-D. (2006) · Physical Review B · doi:10.1103/physrevb.74.193301 · Cited by 13 · see citing works
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Hafezi, M., Mittal, S., Fan, J., Migdall, A., & Taylor, J. M. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.274 · Cited by 1,715 · see citing works
Light-induced gauge fields for ultracold atoms
Goldman, N., Juzeliūnas, G., Öhberg, P., & Spielman, I. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/12/126401 · Cited by 1,212 · see citing works
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Dubček, T., Kennedy, C. J., Lu, L., Ketterle, W., Soljačić, M., & Buljan, H. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.225301 · Cited by 174 · see citing works
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Universal Sign Control of Coupling in Tight-Binding Lattices
Keil, R., Poli, C., Heinrich, M., Arkinstall, J., Weihs, G., Schomerus, H., & Szameit, A. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.213901 · Cited by 83 · see citing works
Effective magnetic fields for photons in waveguide and coupled resonator lattices
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- Authors
- Aidelsburger, M., Atala, M., Nascimbène, S., Trotzky, S., Chen, Y.-A., & Bloch, I.
- Affiliations
- Max Planck Institute of Quantum Optics (DE)
- Centre National de la Recherche Scientifique (FR)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-12-12
- Volume
- 107
- Issue
- 25
- Pages
- 255301-255301
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2012813559
- Cited by
- 775
- References
- 30
- Citations by year
- 2026: 29 · 2025: 34 · 2024: 32 · 2023: 40 · 2022: 34 · 2021: 36 · 2020: 55 · 2019: 46 · 2018: 55 · 2017: 51 · 2016: 64 · 2015: 77 · 2014: 79 · 2013: 83 · 2012: 58
- FWCI
- 38.29
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- arXiv (Cornell University)
- Funders
- Defense Advanced Research Projects Agency
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- effective magnetic field, optical superlattice, ultracold atoms, Aharonov-Bohm phase, staggered magnetic field, ground state degeneracy, time-reversal symmetry breaking, flux quantum
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