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Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices
Open accessAbstract
We demonstrate the experimental implementation of an optical lattice that allows for the generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms. Using laser-assisted tunneling in a tilted optical potential, we engineer spatially dependent complex tunneling amplitudes. Thereby, atoms hopping in the lattice accumulate a phase shift equivalent to the Aharonov-Bohm phase of charged particles in a magnetic field. We determine the local distribution of fluxes through the observation of cyclotron orbits of the atoms on lattice plaquettes, showing that the system is described by the Hofstadter model. Furthermore, we show that for two atomic spin states with opposite magnetic moments, our system naturally realizes the time-reversal-symmetric Hamiltonian underlying the quantum spin Hall effect; i.e., two different spin components experience opposite directions of the magnetic field.
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Citations
Cites
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Cited by
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Quantized electric multipole insulators
Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Science · doi:10.1126/science.aah6442 · Cited by 2,029
Experimental realization of the topological Haldane model with ultracold fermions
Jotzu, G., Messer, M., Desbuquois, R., Lebrat, M., Uehlinger, T., Greif, D., & Esslinger, T. (2014) · Nature · doi:10.1038/nature13915 · Cited by 2,017
Quantum simulations with ultracold atoms in optical lattices
Gross, C., & Bloch, I. (2017) · Science · doi:10.1126/science.aal3837 · Cited by 1,527
Self-citationLight-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
Metadata
- Authors
- Aidelsburger, M., Atala, M., Lohse, M., Barreiro, J. T., Paredes, B., & Bloch, I.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2013-10-28
- Volume
- 111
- Issue
- 18
- Pages
- 185301-185301
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2063327258
- Cited by
- 1,435
- References
- 7
- FWCI
- 70.59
- Type
- journal article
- Language
- en
- Open access
- green
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- Aidelsburger, M., Atala, M., Lohse, M., Barreiro, J. T., Paredes, B., & Bloch, I. (2013). Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices. Physical Review Letters. https://doi.org/10.1103/physrevlett.111.185301
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