https://doi.org/10.1140/epjd/e2003-00254-x
Thomas-Fermi approximation to static vortex states in superfluid trapped atomic gases
1
Institut de Physique Nucléaire, 91406 Orsay
Cedex, France
2
Laboratoire de Physique et Modélisation des Milieux Condensés,
CNRS & Université Joseph Fourier, Maison des Magistères, B.P. 166,
38042 Grenoble Cedex 9, France
3
Departament d'Estructura i Constituents de la Matèria, Facultat
de Física, Universitat de Barcelona, Diagonal 647, 08028
Barcelona, Spain
Corresponding author: a urban@ipno.in2p3.fr
Received:
28
November
2002
Revised:
10
April
2003
Published online:
12
August
2003
We revise the Thomas-Fermi approximation for describing vortex states
in Bose condensates of magnetically trapped atoms. Our approach is
based on considering the 
limit rather than the
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.
PACS: 03.65.Sq – Semiclassical theories and applications / 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
