Static Properties of Trapped Bose Gases at Finite Temperature: I. Thomas- Fermi Limit

We rely on a variational approach to derive a set of equations governing a trapped self-interacting Bose gas at finite temperature. In this work, we analyze the static situation both at zero and finite temperature in the Thomas-Fermi limit. We derive simple analytic expressions for the condensate pr...

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Bibliographic Details
Published in:arXiv.org 2008-01
Main Authors: Benarous, M, Samet, H Chachou
Format: Article
Language:English
Subjects:
Condensates
Online Access:Get full text
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Summary:We rely on a variational approach to derive a set of equations governing a trapped self-interacting Bose gas at finite temperature. In this work, we analyze the static situation both at zero and finite temperature in the Thomas-Fermi limit. We derive simple analytic expressions for the condensate properties at finite temperature. The noncondensate and anomalous density profiles are also analyzed in terms of the condensate fraction. The results are quite encouraging owing to the simplicity of the formalism.
ISSN:2331-8422