Condensate statistics in interacting and ideal dilute bose gases
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We obtain analytical formulas for the statistics, in particular, for the characteristic function and all cumulants, of the Bose-Einstein condensate in dilute weakly interacting and ideal equilibrium gases in the canonical ensemble via the particle-number-conserving operator formalism of Girardeau and Arnowitt. We prove that the ground-state occupation statistics is not Gaussian even in the thermodynamic limit. We calculate the effect of Bogoliubov coupling on suppression of ground-state occupation fluctuations and show that they are governed by a pair-correlation, squeezing mechanism.
author list (cited authors)
Kocharovsky, V. V., Kocharovsky, V. V., & Scully, M. O.
complete list of authors
Kocharovsky, VV||Kocharovsky, VV||Scully, MO