Artículos de revistas
Mean-field equations for cigar- and disc-shaped Bose and Fermi superfluids
Fecha
2009-11-14Registro en:
Journal of Physics B-atomic Molecular and Optical Physics. Bristol: Iop Publishing Ltd, v. 42, n. 21, p. 7, 2009.
0953-4075
10.1088/0953-4075/42/21/215306
WOS:000271149900013
8031087349809439
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
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.