Phys. Rev. Lett. 86, 945 - 949 (2001)

Weakly Interacting Bose-Einstein Condensates under Rotation: Mean-Field versus Exact Solutions

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A. D. Jackson1, G. M. Kavoulakis2 *, B. Mottelson2, and S. M. Reimann3
1Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
2NORDITA, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
3Division of Mathematical Physics, University of Lund, S-22100 Lund, Sweden

Received 18 April 2000

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

* Present address: Royal Institute of Technology, Lindstedtsvägen 24, S-10044 Stockholm, Sweden.

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