Self-Similar Approximations for a Trapped Bose-Einstein Condensate
Condensed Matter
2009-11-07 v1
Abstract
An approximate solution to the Gross-Pitaevskii equation for Bose-Einstein condensate in a spherical harmonic trap is suggested, which is valid in the whole interval of the coupling parameter, correctly interpolating between weak-coupling and strong-coupling limits. This solution is shown to be more accurate than the optimized Gaussian approximation as well as the Thomas-Fermi approximation. The derivation of the solution is based on the self-similar approximation theory. The possibility of obtaining interpolation formulas in the case of nonspherical traps is discussed.
Cite
@article{arxiv.cond-mat/0211318,
title = {Self-Similar Approximations for a Trapped Bose-Einstein Condensate},
author = {V. I. Yukalov and E. P. Yukalova and V. S. Bagnato},
journal= {arXiv preprint arXiv:cond-mat/0211318},
year = {2009}
}
Comments
6 pages, Revtex, 3 figures (fig. 2b is absent)