Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices

Abstract

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.

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

Cited by in corpus (4)

• Fractional-filling loophole insulator domains for ultracold bosons in optical superlattices
• Fractional-filling Mott domains in two dimensional optical superlattices
• Strong-coupling expansions for the topologically inhomogeneous Bose-Hubbard model
• Topology-induced confined superfluidity in inhomogeneous arrays