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Published December 1996 | public
Journal Article Open

Condensate fluctuations of a trapped, ideal Bose gas

Abstract

For a non-self-interacting Bose gas with a fixed, large number of particles confined to a trap, as the ground-state occupation becomes macroscopic, the condensate number fluctuations remain microscopic. However, this is the only significant aspect in which the grand canonical description differs from canonical or microcanonical in the thermodynamic limit. General arguments and estimates including some of the vanishingly small quantities are compared to explicit, fixed-number calculations for 10^(2)-10^(6) particles.

Additional Information

©1996 The American Physical Society. Received 11 June 1996. Werner Krauth of ENS, Paris, pointed out that an earlier effort along these lines was in error and suggested the numerical strategy followed here. Anton Kapustin patiently offered suggestions and criticism. This work was supported in part by the U.S. Department of Energy under Grant No. DEFG03-92-ER40701.

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