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 extraordinary cleanness and control at the microscopic level, permitting quantitative comparison with ab initio theoretical calculations.
“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]
The Introduction describes cold atomic gases as controlled experimental settings, and the Outlook says disorder can be negligible in their optical lattices. These passages support the claim about control and cleanness, but our copy does not establish the further claim that this permits quantitative comparison with ab initio calculations. (LLM, conf=0.82)
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- 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 · 2018: 10
- 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 › Atomic and Molecular Physics, and Optics › 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
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