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Mott Domains of Bosons Confined on Optical Lattices
Open accessAbstract
In the absence of a confining potential, the boson-Hubbard model exhibits a superfluid to Mott insulator quantum phase transition at commensurate fillings and strong coupling. We use quantum Monte Carlo simulations to study the ground state of the one-dimensional bosonic Hubbard model in a trap. Some, but not all, aspects of the Mott insulating phase persist. Mott behavior occurs for a continuous range of incommensurate fillings, very different from the unconfined case, and the establishment of the Mott phase does not proceed via a traditional quantum phase transition. These results have important implications for interpreting experiments on ultracold atoms on optical lattices.
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Citations
Cites
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/415039a · Cited by 5,935
Boson localization and the superfluid-insulator transition
Fisher, M. P. A., Weichman, P. B., Grinstein, G., & Fisher, D. S. (1989) · Physical Review B · doi:10.1103/physrevb.40.546 · Cited by 3,512
Cited by
Many-body physics with ultracold gases
Bloch, I., Dalibard, J., & Zwerger, W. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.885 · Cited by 8,114
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Transition from a strongly interacting 1D superfluid to a Mott insulator
Stöferle, T., Moritz, H., Schori, C., Köhl, M., & Esslinger, T. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.130403 · Cited by 1,047
Controlled collisions for multi-particle entanglement of optically trapped atoms
Mandel, O., Greiner, M., Widera, A., Rom, T., Hänsch, T. W., & Bloch, I. (2003) · Nature · doi:10.1038/nature02008 · Cited by 789
Dynamics of a quantum phase transition and relaxation to a steady state
Dziarmaga, J. (2010) · Advances in Physics · doi:10.1080/00018732.2010.514702 · Cited by 717
Metadata
- Authors
- Batrouni, G. G., Rousseau, V., Scalettar, R. T., Rigol, M., Muramatsu, A., Denteneer, P. J. H., & Troyer, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-08-26
- Volume
- 89
- Issue
- 11
- Pages
- 117203-117203
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2013588702
- Cited by
- 293
- References
- 2
- FWCI
- 17.68
- Type
- journal article
- Language
- en
- Open access
- green
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- Batrouni, G. G., Rousseau, V., Scalettar, R. T., Rigol, M., Muramatsu, A., Denteneer, P. J. H., & Troyer, M. (2002). Mott Domains of Bosons Confined on Optical Lattices. Physical Review Letters. https://doi.org/10.1103/physrevlett.89.117203
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