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Topological bands for ultracold atoms
Open accessAbstract
There have been significant recent advances in realizing band structures with geometrical and topological features in experiments on cold atomic gases. This review summarizes these developments, beginning with a summary of the key concepts of geometry and topology for Bloch bands. Descriptions are given of the different methods that have been used to generate these novel band structures for cold atoms and of the physical observables that have allowed their characterization. The focus is on the physical principles that underlie the different experimental approaches, providing a conceptual framework within which to view these developments. Also described is how specific experimental implementations can influence physical properties. Moving beyond single-particle effects, descriptions are given of the forms of interparticle interactions that emerge when atoms are subjected to these energy bands and of some of the many-body phases that may be sought in future experiments.
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“atomic gases enjoy an extraordinary level of cleanness and control at the microscopic level, which permits a quantitative comparison with ab initio theoretical calculations.”
From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [4]
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Villa, G., del Pino, J., Dumont, V., Rastelli, G., Michałek, M., Eichler, A., & Zilberberg, O. (2025) · Science Advances · doi:10.1126/sciadv.adt9311 · Cited by 23
Link between Zitterbewegung and topological phase transitions
Shen, X., Zhu, Y.-Q., & Li, Z. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.106.l180301 · Cited by 15
Topological gauge theory for mixed Dirac stationary states in all dimensions
Huang, Z.-M., Sun, X.-Q., & Diehl, S. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.106.245204 · Cited by 14
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Metadata
- Authors
- Cooper, N. R., Dalibard, J., & Spielman, I. B.
- Affiliations
- University of Cambridge (GB)
- Centre National de la Recherche Scientifique (FR)
- National Institute of Standards and Technology (US)
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2019-03-25
- Volume
- 91
- Issue
- 1
- Pages
- 015005
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- PMC
- PMC7079706
- OpenAlex
- W2790327112
- Cited by
- 940
- References
- 273
- Citations by year
- 2026: 74 · 2025: 113 · 2024: 104 · 2023: 139 · 2022: 140 · 2021: 156 · 2020: 136 · 2019: 68
- FWCI
- 54.96
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Reviews of Modern Physics (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (acceptedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- HAL (submittedVersion)
- arXiv (Cornell University)
- Funders
- Engineering and Physical Sciences Research Council (EP/K030094/1, EP/P009565/1)
- Simons Foundation
- H2020 European Research Council (UQUAM)
- Army Research Office (MURI)
- Air Force Office of Scientific Research (MURI)
- National Institute of Standards and Technology
- National Science Foundation (PFC)
- 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 › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- topological band structure, ultracold atoms, cold atoms, Bloch bands, band structure engineering, interparticle interactions, many-body phases, topological phases
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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