Ground State of a trapped Bose-Einstein Condensate in Two Dimensions; Beyond the Mean-field Approximation
Condensed Matter
2009-10-31 v1 High Energy Physics - Phenomenology
Abstract
We consider the ground state of a trapped Bose-Einstein condensate in two dimensions. In the mean-field approximation, the ground state density profile satisfies the Gross-Pitaevskii equation. We compute the leading quantum corrections to the density profile to second order in an expansion around the Thomas-Fermi limit. By summing the ladder diagrams, we are generalizing Schick's result for the ground state energy of a homogeneouns Bose gas to the case of a trapped Bose gas.
Keywords
Cite
@article{arxiv.cond-mat/0012101,
title = {Ground State of a trapped Bose-Einstein Condensate in Two Dimensions; Beyond the Mean-field Approximation},
author = {Jens O. Andersen and Haarek Haugerud},
journal= {arXiv preprint arXiv:cond-mat/0012101},
year = {2009}
}
Comments
19 pages, 2 figures, revtex