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26 April 2024
 
  » arxiv » cond-mat/0108041

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Interacting Bose Gas in an Optical Lattice
K. Ziegler ;
Date 2 Aug 2001
Journal Journ. Low Temp. Phys. 126, 1431 (2002)
Subject Statistical Mechanics | cond-mat.stat-mech
AbstractA 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 $N oinfty$ 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 $N oinfty$. 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.
Source arXiv, cond-mat/0108041
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