Density Matrix of a BoseEinstein Condensate: SteadyState versus MeanField Approach
Abstract
We compare the equilibrium solution for the condensate obtained in the meanfield approximation to the master equation for sympathetic cooling with the one obtained by Scully for a system in contact with a heat bath with the help of an analogy with the laser. While the meanfield approach yields analytical formulas for the approach towards equilibrium and for the equilibrium solution, it neglects the correlations between occupation numbers of different singleparticle states which are approximately kept in Scully's approach. Such neglect is admissible as long as the fraction of Bosons in the condensate does not exceed a few percent or so.
 Publication:

arXiv eprints
 Pub Date:
 November 2001
 arXiv:
 arXiv:condmat/0111413
 Bibcode:
 2001cond.mat.11413W
 Keywords:

 Condensed Matter