Bloch state tomography using Wilson lines
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 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 [27]
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- Authors
- Li, T., Duca, L., Reitter, M., Grusdt, F., Demler, E., Endres, M., Schleier-Smith, M., Bloch, I., & Schneider, U.
- Affiliations
- Max Planck Institute of Quantum Optics (DE)
- Harvard University (US)
- California Institute of Technology (US)
- Stanford University (US)
- University of Cambridge (GB)
- Corresponding author
- Schneider, Ulrich
- ORCID
- Venue
- Science
- Published
- 2016-05-27
- Volume
- 352
- Issue
- 6289
- Pages
- 1094-1097
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W2395701151
- Cited by
- 184
- References
- 52
- Citations by year
- 2026: 6 · 2025: 8 · 2024: 14 · 2023: 16 · 2022: 20 · 2021: 19 · 2020: 25 · 2019: 24 · 2018: 25 · 2017: 20 · 2016: 7
- FWCI
- 11.98
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Science (publishedVersion)
- PubMed (publishedVersion)
- CaltechAUTHORS (California Institute of Technology) (acceptedVersion)
- Apollo (University of Cambridge) (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion, other-oa)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- Max Planck Digital Library (submittedVersion)
- arXiv (Cornell University)
- Funders
- Alfred P. Sloan Foundation
- European Commision
- Nanosystems Initiative Munich
- NSF (DMR-1308435)
- Defense Advanced Research Projects Agency
- Air Force Office of Scientific Research
- Quantum Simulation Multidisciplinary University Research Initiative (MURI)
- Army Research Office (ARO)
- 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
- Wilson lines, Bloch states, band geometry, Berry curvature, Chern number, Z2 topological invariant, multiband systems, honeycomb optical lattice, ultracold atoms, rubidium, topological phases
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