Condensation of N interacting bosons: Hybrid approach to condensate fluctuations

Details Condensation of N interacting bosons: Hybrid approach to condensate fluctuations Condensation of N interacting bosons: Hybrid approach to condensate fluctuations

2006-10-09

arxiv.org/abs/cond-mat/0610238v1

Phys. Rev. Lett. v. 97, 190402 (2006)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.97.190402

We present a new method of calculating the distribution function and fluctuations for a Bose-Einstein condensate (BEC) of N interacting atoms. The present formulation combines our previous master equation and canonical ensemble quasiparticle techniques. It is applicable both for ideal and interacting Bogoliubov BEC and yields remarkable accuracy at all temperatures. For the interacting gas of 200 bosons in a box we plot the temperature dependence of the first four central moments of the condensate particle number and compare the results with the ideal gas. For the interacting mesoscopic BEC, as with the ideal gas, we find a smooth transition for the condensate particle number as we pass through the critical temperature.

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