Potsdam University Potsdam Quantum Optics Group

Universität Potsdam
Institut für Physik
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14476 Potsdam-Golm
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 Publications
 1999
   illuminati99a
 
F. Illuminati, P. Navez, and M. Wilkens
Thermodynamic Identities and Particle Number Fluctuations in weakly interacting Bose-Einstein condensates
J. Phys. B: Atom., Mol., and Opt. Phys. 32 (1999) L461-L467

Abstract

    We derive exact thermodynamic identities relating the average number of condensed atoms and the root-mean-square fluctuations determined in different statistical ensembles for the weakly interacting Bose gas confined in a box. This is achieved by introducing the concept of auxiliary partition functions for model Hamiltonians that do conserve the total number of particles. Exploiting such thermodynamic identities, we provide the first, completely analytical prediction of the microcanonical particle number fluctuations in the weakly interacting Bose gas. Such fluctuations, as a function of the volume V of the box are found to behave normally, at variance with the anomalous scaling behavior V4/3 of the fluctuations in the ideal Bose gas.

[ cond-mat/9909157 ]

file generated: 28 Nov 2016


   
   
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