Ansatz from Non-Linear Optics Applied to Trapped Bose-Einstein Condensates
Abstract
A simple analytical ansatz, which has been used to describe the intensity profile of the similariton laser (a laser with self-similar propagation of ultrashort pulses), is used as a variational wave function to solve the Gross-Pitaevskii equation for a wide range of interaction parameters. The variational form interpolates between the noninteracting density profile and the strongly interacting Thomas-Fermi profile smoothly. The simple form of the ansatz is modified for both cylindrically symmetric and completely anisotropic harmonic traps. The resulting ground-state density profile and energy are in very good agreement with both the analytical solutions in the limiting cases of interaction and the numerical solutions in the intermediate regime.
Cite
@article{arxiv.cond-mat/0703779,
title = {Ansatz from Non-Linear Optics Applied to Trapped Bose-Einstein Condensates},
author = {Murat Keceli and F. O. Ilday and M. O. Oktel},
journal= {arXiv preprint arXiv:cond-mat/0703779},
year = {2007}
}
Comments
4 pages, 3 figures, published version