Weakly Interacting Bose-Einstein Condensates Under Rotation: Mean-field versus Exact Solutions
Condensed Matter
2009-10-31 v1
Abstract
We consider a weakly-interacting, harmonically-trapped Bose-Einstein condensed gas under rotation and investigate the connection between the energies obtained from mean-field calculations and from exact diagonalizations in a subspace of degenerate states. From the latter we derive an approximation scheme valid in the thermodynamic limit of many particles. Mean-field results are shown to emerge as the correct leading-order approximation to exact calculations in the same subspace.
Cite
@article{arxiv.cond-mat/0004309,
title = {Weakly Interacting Bose-Einstein Condensates Under Rotation: Mean-field versus Exact Solutions},
author = {A. D. Jackson and G. M. Kavoulakis and B. Mottelson and S. M. Reimann},
journal= {arXiv preprint arXiv:cond-mat/0004309},
year = {2009}
}
Comments
4 pages, RevTex, submitted to PRL