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  • PACS. 05.30.Jp Boson systems – 05.30.-d Quantum statistical mechanics – 03.75.Fi Phase coherent atomic ensembles; quantum condensation phenomena  (1)
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  • PACS. 05.30.Jp Boson systems – 05.30.-d Quantum statistical mechanics – 03.75.Fi Phase coherent atomic ensembles; quantum condensation phenomena  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 24 (2001), S. 107-124 
    ISSN: 1434-6036
    Keywords: PACS. 05.30.Jp Boson systems – 05.30.-d Quantum statistical mechanics – 03.75.Fi Phase coherent atomic ensembles; quantum condensation phenomena
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We study the effects of repulsive interactions on the critical density for the Bose-Einstein transition in a homogeneous dilute gas of bosons. First, we point out that the simple mean field approximation produces no change in the critical density, or critical temperature, and discuss the inadequacies of various contradictory results in the literature. Then, both within the frameworks of Ursell operators and of Green's functions, we derive self-consistent equations that include correlations in the system and predict the change of the critical density. We argue that the dominant contribution to this change can be obtained within classical field theory and show that the lowest order correction introduced by interactions is linear in the scattering length, a, with a positive coefficient. Finally, we calculate this coefficient within various approximations, and compare with various recent numerical estimates.
    Type of Medium: Electronic Resource
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