Condensate Statistics in Interacting and Ideal Dilute Bose Gases
Vitaly V. Kocharovsky, Vl. V. Kocharovsky, Marlan O. Scully
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.
Physical Review Letters•Mar 13, 2000•75 citations