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Interacting bosons in an optical lattice: Bose-Einstein condensates and Mott insulator

arXiv:cond-mat/0702315 · doi:10.1103/PhysRevA.75.053616

Abstract

A dense Bose gas with hard-core interaction is considered in an optical lattice. We study the phase diagram in terms of a special mean-field theory that describes a Bose-Einstein condensate and a Mott insulator with a single particle per lattice site for zero as well as for non-zero temperatures. We calculate the densities, the excitation spectrum and the static structure factor for each of these phases.

17 pages, 5 figures; 1 figure added, typos removed