Interacting Bose Gas in an Optical Lattice |
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Authors: | K Ziegler |
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Affiliation: | (1) Institut für Physik, Universität Augsburg, Germany |
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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![rarr](/content/u897448536257339/xxlarge8594.gif) is solved exactly in terms of a saddle-point integration, representing a weakly-interacting Bose gas. In the limit N![rarr](/content/u897448536257339/xxlarge8594.gif) there is only a condensate if the fugacity of the Bose gas is larger than 1. 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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