Exact versus mean-field description of the Bose-Einstein condensate: a model study

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dc.creatorZaluska-Kotur, Magdalena A.
dc.creatorGajda, Mariusz
dc.creatorOrlowski, Arkadiusz
dc.creatorMostowski, Jan
dc.date2000-04-27
dc.date.accessioned2026-07-07T02:37:28Z
dc.date.available2026-07-07T02:37:28Z
dc.descriptionWe study a system of trapped bosonic particles interacting by model harmonic forces. Our model allows for detailed examination of the notion of an order parameter (a condensate wave function). By decomposing a single particle density matrix into coherent eigenmodes we study an effect of interaction on the condensate. We show that sufficiently strong interactions cause that the condensate disappears even if the whole system is in its lowest energy state. In the second part of our paper we discuss the validity of the Bogoliubov approximation by comparing its predictions with results inferred from the exactl y soluble model. In particular we examine an energy spectrum, occupation, and fluctuations of the condensate. We conclude that Bogoliubov approach gives quite accurate description of the system in the limit of weak interactions.
dc.description10 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0004469
dc.identifierhttp://arxiv.org/abs/cond-mat/0004469
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16304
dc.subjectSoft Condensed Matter
dc.titleExact versus mean-field description of the Bose-Einstein condensate: a model study
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