Weakly Interacting Bose-Einstein Condensates Under Rotation: Mean-field versus Exact Solutions
arXiv:cond-mat/0004309 · doi:10.1103/PhysRevLett.86.945
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.
4 pages, RevTex, submitted to PRL
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