Mean-field equations for cigar- and disc-shaped Bose and Fermi superfluids

Starting from the three-dimensional (3D) time-dependent nonlinear Gross-Pitaevskii equation for a Bose-Einstein condensate (BEC) and the density-functional (DF) equation for a Fermi superfluid at the unitarity and Bardeen-Cooper-Schrieffer (BCS) limits, we derive effective one- (1D) and two-dimensio...

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Bibliographic Details
Published inJournal of physics. B, Atomic, molecular, and optical physics Vol. 42; no. 21; pp. 215306 - 215306 (7)
Main Authors Buitrago, Camilo A G, Adhikari, S K
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 14.11.2009
Institute of Physics
Subjects
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Matter waves
Physics
Theoretical study
Adiabatic approximation
Gross-Pitaevskii equation
Bose-Einstein condensation
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Summary:Starting from the three-dimensional (3D) time-dependent nonlinear Gross-Pitaevskii equation for a Bose-Einstein condensate (BEC) and the density-functional (DF) equation for a Fermi superfluid at the unitarity and Bardeen-Cooper-Schrieffer (BCS) limits, we derive effective one- (1D) and two-dimensional (2D) mean-field equations, respectively, for the dynamics of a trapped cigar- and disc-shaped BEC and Fermi superfluid by using the adiabatic approximation. The reduced 1D and 2D equations for a cigar- and disc-shaped Fermi superfluid have simple analytic non-linear terms and at unitarity produce results for stationary properties and non-stationary breathing oscillation and free expansion in excellent agreement with the solution of the full 3D equation.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0953-4075
1361-6455
DOI:10.1088/0953-4075/42/21/215306