Canonical Statistics of Occupation Numbers for Ideal and Weakly Interacting Bose-Einstein Condensates

  • Dave Boers
  • Martin Holthaus
Part of the Lecture Notes in Physics book series (LNP, volume 602)


We give a self-contained, tutorial review of recent works on the statistics of the number of particles contained in a Bose-Einstein condensate within the canonical ensemble, both for ideal and weakly interacting Bose gases. While in the case of the ideal gas there exists a general mathematical framework for computing the fluctuation of the condensate particles in any trap, the analysis of the weakly interacting case is restricted to a homogeneous gas in the framework of the Bogoliubov theory. In particular, we present a simplified derivation of the pair characteristic function which governs the condensate statistics, first obtained by Kocharovsky, Kocharovsky, and Scully [Physical Review A 61, 053606 (2000)].


Occupation Number Einstein Condensate Microcanonical Ensemble Excited Particle Grand Partition Function 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Dave Boers
    • 1
  • Martin Holthaus
    • 1
  1. 1.Fachbereich PhysikCarl von Ossietzky UniversitätOldenburgGermany

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