Phys. Rev. Lett. 86, 945–949 (2001)Weakly Interacting Bose-Einstein Condensates under Rotation: Mean-Field versus Exact SolutionsReceived 18 April 2000; published in the issue dated 5 February 2001 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. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.86.945
DOI:
10.1103/PhysRevLett.86.945
PACS:
03.75.Fi, 05.30.Jp, 67.40.Db, 67.40.Vs
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