Condensate statistics in interacting and ideal dilute bose gases
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.
Kocharovsky
VV
Department of Physics and Institute for Quantum Studies, Texas A&M University, College Station, Texas 77843 and Institute of Applied Physics of the Russian Academy of Science, Nizhny Novgorod, Russia.
Kocharovsky
VV
Scully
MO