Interacting Bose Gas in an Optical Lattice

Details Interacting Bose Gas in an Optical Lattice Interacting Bose Gas in an Optical Lattice

2001-08-02

arxiv.org/abs/cond-mat/0108041v2

Journ. Low Temp. Phys. 126, 1431 (2002)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 1 figure

Scientific paper

A grand canonical system of hard-core bosons in an optical lattice is considered. The bosons can occupy randomly $N$ equivalent states at each lattice site. The limit $N\to\infty$ is solved exactly in terms of a saddle-point integration, representing a weakly-interacting Bose gas. At T=0 there is only a condensate in the limit $N\to\infty$. Corrections in 1/N increase the total density of bosons but suppress the condensate. This indicates a depletion of the condensate due to increasing interaction at finite values of N.

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