Zoo of quantum phases and excitations of cold bosonic atoms in optical lattices

Details Zoo of quantum phases and excitations of cold bosonic atoms in optical lattices Zoo of quantum phases and excitations of cold bosonic atoms in optical lattices

2004-12-28

arxiv.org/abs/cond-mat/0412734v1

Phys. Rev. Lett 95, 030405 (2005)

Physics

Condensed Matter

Other Condensed Matter

12 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.95.030405

Quantum phases and phase transitions of weakly- to strongly-interacting bosonic atoms in deep to shallow optical lattices are described by a {\it single multi-orbital mean-field approach in real space}. For weakly-interacting bosons in 1D, the critical value of the superfluid to Mott insulator (MI) transition found is in excellent agreement with {\it 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 {\it 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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