Critical Temperature of a Trapped Bose Gas: Mean-Field Theory and Fluctuations

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages of ReVTeX and 3 figures. Submitted to Physical Review A

Scientific paper

10.1103/PhysRevA.56.2041

We investigate the possibilities of distinguishing the mean-field and fluctuation effects on the critical temperature of a trapped Bose gas with repulsive interatomic interactions. Since in a direct measurement of the critical temperature as a function of the number of trapped atoms these effects are small compared to the ideal gas results, we propose to observe Bose-Einstein condensation by adiabatically ramping down the trapping frequency. Moreover, analyzing this adiabatic cooling scheme, we show that fluctuation effects can lead to the formation of a Bose condensate at frequencies which are much larger than those predicted by the mean-field theory.

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