Experimental reconstruction of the Berry curvature in a Floquet Bloch band
Open accessAbstract
Cold atoms do geometry: Electrons in solids populate energy bands, which can be simulated in cold atom systems using optical lattices. The geometry of the corresponding wave functions determines the topological properties of the system, but getting a direct look is tricky. Fläschner et al. and Li et al. measured the detailed structure of the band wave functions in hexagonal optical lattices, one resembling a boron-nitride and the other a graphene lattice. These techniques will make it possible to explore more complex situations that include the effects of interactions. Science , this issue pp. 1091 and 1094
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The experimental reconstruction captures the main features of Berry curvature, including overall symmetry and sign, quantitative magnitude over much of the band, and the complementarity Ω1 = -Ω2.
“as can be seen, the main features of the Berry curvature are well captured, such as the overall symmetry and sign, the quantitative magnitude over much of the band and the predicted complementarity of the two bands 1,26 (that is, Ω ϕ,Q 1 = -Ω ϕ,Q 2 ).”
From Experimental measurement of the Berry curvature from anomalous transport (2017) · cites this paper as [26]
The method measures Berry curvature directly from wavepacket dynamics without requiring full reconstruction of band eigenstates.
“with the significant advantage that it does not require a full reconstruction of the band eigenstates as an intermediate step.”
From Experimental measurement of the Berry curvature from anomalous transport (2017) · cites this paper as [26]
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Cited by
Sorted by citations
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- Authors
- Fläschner, N., Rem, B. S., Tarnowski, M., Vogel, D., Lühmann, D.-S., Sengstock, K., & Weitenberg, C.
- Affiliations
- Universität Hamburg (DE)
- Corresponding author
- Fläschner, N.
- Rem, B. S.
- Sengstock, K.
- Venue
- Science
- Published
- 2016-05-27
- Volume
- 352
- Issue
- 6289
- Pages
- 1091-1094
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W1903493486
- Cited by
- 487
- References
- 34
- Citations by year
- 2026: 14 · 2025: 21 · 2024: 37 · 2023: 34 · 2022: 48 · 2021: 60 · 2020: 71 · 2019: 61 · 2018: 76 · 2017: 49 · 2016: 16
- FWCI
- 31.84
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Science (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Deutsche Forschungsgemeinschaft
- Topics
- 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 › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- Berry curvature, ultracold atoms, resonant driving
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