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

A. D. Jackson·G. M. Kavoulakis·B. Mottelson·S. M. Reimann
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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.

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A. D. Jackson, G. M. Kavoulakis, B. Mottelson, S. M. Reimann. 2000-04-18. Weakly Interacting Bose-Einstein Condensates Under Rotation: Mean-field versus Exact Solutions. https://doi.org/10.1103/physrevlett.86.945

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