Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices

Details Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices

2004-05-12

arxiv.org/abs/cond-mat/0405254v2

Phys. Rev. A 70, 033608 (2004)

Physics

Condensed Matter

Soft Condensed Matter

8 pages, 6 figures, submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.70.033608

We present an analytic description of the finite-temperature phase diagram of the Bose-Hubbard model, successfully describing the physics of cold bosonic atoms trapped in optical lattices and superlattices. Based on a standard statistical mechanics approach, we provide the exact expression for the boundary between the superfluid and the normal fluid by solving the self-consistency equations involved in the mean-field approximation to the Bose-Hubbard model. The zero-temperature limit of such result supplies an analytic expression for the Mott lobes of superlattices, characterized by a critical fractional filling.

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