# Interacting Bose Gas in an Optical Lattice

Source: [Interacting Bose Gas in an Optical Lattice](<https://www.sota2.com/research/paper/68fa1e3a7a2b558e29320f68>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T14:26:46.684Z

Authors: K. Ziegler

Published: 2001-08-02T14:06:11.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0108041>)

[PDF](<https://arxiv.org/pdf/cond-mat/0108041.pdf>)