Cold Bosonic Atoms in Optical Lattices
Open accessAbstract
The dynamics of an ultracold dilute gas of bosonic atoms in an optical lattice can be described by a Bose-Hubbard model where the system parameters are controlled by laser light. We study the continuous (zero temperature) quantum phase transition from the superfluid to the Mott insulator phase induced by varying the depth of the optical potential, where the Mott insulator phase corresponds to a commensurate filling of the lattice (``optical crystal''). Examples for formation of Mott structures in optical lattices with a superimposed harmonic trap and in optical superlattices are presented.
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Nature accesses highly correlated states that cannot be efficiently simulated on a classical computer in some cases, such as high-Tc superconductors or certain ground states of frustrated quantum antiferromagnets believed to carry topological order.
“Certainly, in some cases we believe it does, as for example in highT c superconductors [69] or in certain ground states of frustrated quantum antiferromagnets which are believed to carry topological order [89].”
From Can one trust quantum simulators? (2012) · cites this paper as [69]
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- Authors
- Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W., & Zoller, P.
- Affiliations
- Universität Innsbruck (AT)
- Karlsruhe Institute of Technology (DE)
- Victoria University of Wellington (NZ)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1998-10-12
- Volume
- 81
- Issue
- 15
- Pages
- 3108-3111
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2035413341
- Cited by
- 3,685
- References
- 27
- Citations by year
- 2026: 69 · 2025: 88 · 2024: 81 · 2023: 118 · 2022: 112 · 2021: 96 · 2020: 110 · 2019: 116 · 2018: 129 · 2017: 141 · 2016: 172 · 2015: 150 · 2014: 195 · 2013: 185 · 2012: 182
- FWCI
- 14.64
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- 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 › Strong Light-Matter Interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum, superfluid, helium dynamics
- Keywords
- ultracold bosonic atoms, optical lattices, Bose-Hubbard model, Mott insulator, superfluid-Mott insulator transition, quantum phase transitions, optical crystals, commensurate filling, optical superlattice, harmonic trap
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