Probability Distributions and Particle Number Fluctuations of Trapped Bose-Einstein Condensates in Different Dimensions

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dc.creatorXiong, Hongwei
dc.creatorLiu, Shujuan
dc.creatorHuang, Guoxiang
dc.creatorWu, FengMin
dc.creatorXu, Zhijun
dc.date2001-11-10
dc.date.accessioned2026-07-07T02:43:27Z
dc.date.available2026-07-07T02:43:27Z
dc.descriptionThe analytical probability distribution of finite systems obeying Bose-Einstein statistics in one, two, and three dimensions are investigated by using a canonical ensemble approach. Starting from the canonical partition function of the system, a unified approach is provided to study the probability distribution of a condensate for various confinements and in different dimensions. Based on the probability distribution function, it is straightforward to obtain the mean ground state occupation number and particle number fluctuations of the condensate. It is found that the particle number fluctuations in a trapped Bose gas are strongly dependent on the type of confining potential and on the dimensionality of the system.
dc.descriptionRevTex 10 pages, 7 figures, E-mail: hwxiong@sohu.com
dc.identifierhttps://arxiv.org/abs/cond-mat/0111186
dc.identifierhttp://arxiv.org/abs/cond-mat/0111186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18508
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleProbability Distributions and Particle Number Fluctuations of Trapped Bose-Einstein Condensates in Different Dimensions
dc.typetext

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