Beyond the Thomas-Fermi approximation for a trapped condensed Bose-Einstein gas
Abstract
Corrections to the zero-temperature Thomas-Fermi description of a dilute interacting condensed Bose-Einstein gas confined in an isotropic harmonic trap arise due to the presence of a boundary layer near the condensate surface. Within the Bogoliubov approximation, the various contributions to the ground-state condensate energy all have terms of order R^{-4}ln R and R^{-4}, where R is the number-dependent dimensionless condensate radius in units of the oscillator length. The zero-order hydrodynamic density-fluctuation amplitudes are extended beyond the Thomas-Fermi radius through the boundary layer to provide a uniform description throughout all space. The first-order correction to the excitation frequencies is shown to be of order R^{-4}.
Cite
@article{arxiv.cond-mat/9704173,
title = {Beyond the Thomas-Fermi approximation for a trapped condensed Bose-Einstein gas},
author = {Alexander L. Fetter and David L. Feder},
journal= {arXiv preprint arXiv:cond-mat/9704173},
year = {2009}
}
Comments
12 pages, 2 figures, revtex. Completely revised discussion of the boundary-layer corrections to collective excitations, and two new figures added. To appear in Phys. Rev. A (October, 1998)