Condensate statistics in interacting Bose gases: exact results
arXiv:cond-mat/0206211 · doi:10.1103/PhysRevLett.90.030401
Abstract
Recently, a Quantum Monte Carlo method alternative to the Path Integral Monte Carlo method was developed for the numerical solution of the N-boson problem; it is based on the stochastic evolution of classical fields. Here we apply it to obtain exact results for the occupation statistics of the condensate mode in a weakly interacting trapped one-dimensional Bose gas. The temperature is varied across the critical region down to temperatures lower than the trap level spacing. We verify that the number-conserving Bogoliubov theory gives accurate predictions provided that the non-condensed fraction is small.
4 pages, 3 figures; typo corrected in eq.5; references added
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