Weakly Interacting Bose-Einstein Condensates Under Rotation: Mean-field versus Exact Solutions

Details Weakly Interacting Bose-Einstein Condensates Under Rotation: Mean-field versus Exact Solutions Weakly Interacting Bose-Einstein Condensates Under Rotation: Mean-field versus Exact Solutions

2000-04-18

arxiv.org/abs/cond-mat/0004309v1

Phys. Rev. Lett., 86 (2001) 945

Physics

Condensed Matter

4 pages, RevTex, submitted to PRL

Scientific paper

10.1103/PhysRevLett.86.945

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.

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