Hartree-Fock-Bogoliubov theory versus local-density approximation for superfluid trapped fermionic atoms

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dc.creatorGrasso, Marcella
dc.creatorUrban, Michael
dc.date2003-05-26
dc.date2004-01-08
dc.date.accessioned2026-07-07T12:37:56Z
dc.date.available2026-07-07T12:37:56Z
dc.descriptionWe investigate a gas of superfluid fermionic atoms trapped in two hyperfine states by a spherical harmonic potential. We propose a new regularization method to remove the ultraviolet divergence in the Hartree-Fock-Bogoliubov equations caused by the use of a zero-range atom-atom interaction. Compared with a method used in the literature, our method is simpler and has improved convergence properties. Then we compare Hartree-Fock-Bogoliubov calculations with the semiclassical local-density approximation. We observe that for systems containing a small number of atoms shell effects, which cannot be reproduced by the semiclassical calculation, are very important. For systems with a large number of atoms at zero temperature the two calculations are in quite good agreement, which, however, is deteriorated at non-zero temperature, especially near the critical temperature. In this case the different behavior can be explained within the Ginzburg-Landau theory.
dc.description12 pages, 8 figures, revtex; v2: references and clarifying remarks added
dc.identifierhttps://arxiv.org/abs/cond-mat/0305588
dc.identifierhttp://arxiv.org/abs/cond-mat/0305588
dc.identifierPhys.Rev.A68:033610,2003
dc.identifierdoi:10.1103/PhysRevA.68.033610
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218580
dc.subjectCondensed Matter
dc.subjectNuclear Theory
dc.titleHartree-Fock-Bogoliubov theory versus local-density approximation for superfluid trapped fermionic atoms
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