Static properties of trapped bose gases at finite temperature: Thomas-Fermi limit
Laboratory for Theoretical Physics and Material Physics, Faculty of Sciences and Engineering Sciences, Hassiba Benbouali University of Chlef, B.P. 151, 02000 Chlef, Algeria
Corresponding author: a email@example.com
Revised: 27 June 2008
Published online: 24 October 2008
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 for the repulsive case. 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.
PACS: 05.30.Jp – Boson systems / 11.15.Tk – Other nonperturbative techniques
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008