Variational HFB Equations in the Thomas-Fermi Limit for Ultracold Trapped Gases

Details Variational HFB Equations in the Thomas-Fermi Limit for Ultracold Trapped Gases Variational HFB Equations in the Thomas-Fermi Limit for Ultracold Trapped Gases

2008-03-10

arxiv.org/abs/0803.1503v1

Physics

Condensed Matter

Statistical Mechanics

16 pages, 6 figures

Scientific paper

We derive variationally the HFB equations for a trapped self-interacting Bose gas at finite temperature. In the Thomas-Fermi limit, we obtain simple expressions for the condensate, the non condensate and the anomalous densities. Their behavior in terms of the condensate fraction meets qualitatively the experimental data. In particular, the non condensate and the anomalous densities are peaked at the center of the trap and not at the edges as predicted by the self-consistent HFB calculations.

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