Abstract
Quantum phases and phase transitions of weakly to strongly interacting bosonic atoms in deep to shallow optical lattices are described by a single multiorbital mean-field approach in real space. For weakly interacting bosons in one dimension, the critical value of the superfluid to Mott insulator (MI) transition found is in excellent agreement with many-body treatments of the Bose-Hubbard model. For strongly interacting bosons, (i) additional MI phases appear, for which two (or more) atoms residing in each site undergo a Tonks-Girardeau-like transition and localize, and (ii) on-site excitation becomes the excitation lowest in energy. Experimental implications are discussed.
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Publication Info
- Year
- 2005
- Type
- article
- Volume
- 95
- Issue
- 3
- Pages
- 030405-030405
- Citations
- 85
- Access
- Closed
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Identifiers
- DOI
- 10.1103/physrevlett.95.030405