Gross-Pitaevskii Model for Nonzero Temperature Bose-Einstein Condensates

Details Gross-Pitaevskii Model for Nonzero Temperature Bose-Einstein Condensates Gross-Pitaevskii Model for Nonzero Temperature Bose-Einstein Condensates

2001-10-12

arxiv.org/abs/cond-mat/0110258v1

Physics

Condensed Matter

Statistical Mechanics

Submitted to PRE

Scientific paper

Momentum distributions and temporal power spectra of nonzero temperature Bose-Einstein condensates are calculated using a Gross-Pitaevskii model. The distributions are obtained for micro-canonical ensembles (conservative Gross-Pitaevskii equation) and for grand-canonical ensembles (Gross-Pitaevskii equation with fluctuations and dissipation terms). Use is made of an equivalence between statistics of the solutions of conservative Gross-Pitaevskii and dissipative complex Ginzburg-Landau equations. In all cases the occupation numbers of modes follow a k^(-2) dependence, which corresponds in the long wavelength limit (k->0) to Bose-Einstein distributions. The temporal power spectra are of f^(-a) form, where: a=2-D/2 with D the dimension of space.

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