Condensate statistics in interacting Bose gases: exact results

Details Condensate statistics in interacting Bose gases: exact results Condensate statistics in interacting Bose gases: exact results

2002-06-12

arxiv.org/abs/cond-mat/0206211v2

Phys. Rev. Lett. 90, 030401 (2003).

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures; typo corrected in eq.5; references added

Scientific paper

10.1103/PhysRevLett.90.030401

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.

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