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

2002/07/31 by M. Urban, Mi­chael Urban, P. Schuck +2
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat #nucl-th

paper · pdf · doi:10.1140/epjd/e2003-00254-x

published as Eur.Phys.J. D27 (2003) 147-157 · 11 pages, 6 figures, revtex4, substantially revised version

arxiv created 2003/06/04 · openalex publication_date 2003/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations