Thomas-Fermi approximation to static vortex states in superfluid trapped atomic gases

Details Thomas-Fermi approximation to static vortex states in superfluid trapped atomic gases Thomas-Fermi approximation to static vortex states in superfluid trapped atomic gases

2002-07-10

arxiv.org/abs/cond-mat/0207261v2

Eur.Phys.J. D27 (2003) 147-157

Physics

Condensed Matter

11 pages, 6 figures, revtex4, substantially revised version

Scientific paper

10.1140/epjd/e2003-00254-x

We revise the Thomas-Fermi approximation for describing vortex states in Bose condensates of magnetically trapped atoms. Our approach is based on considering the hbar -> 0 limit rather than the N -> infinity limit as Thomas-Fermi approximation in close analogy with the Fermi systems. Even for relatively small numbers of trapped particles we find good agreement between Gross-Pitaevskii and Thomas-Fermi calculations for the different contributions to the total energy of the atoms in the condensate. We also discuss the application of our approach to the description of vortex states in superfluid fermionic systems in the Ginzburg-Landau regime.

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