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Frontiers in Optics

Theory of Atom Number Statistics of Bose Condensates

Marlan O. Scully, Anatoly A. Svidzinsky

Published Jan 1, 2007• 0 citations
Publisher

Abstract

We present a new method of calculating fluctuations of a Bose-Einstein condensate (BEC) of N interacting atoms. It is applicable both for ideal and interacting Bogoliubov BEC and yields remarkable accuracy at all temperatures. Article not available.
DOI
10.1364/ls.2007.ltha1

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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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