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Phys. Rev. A 69, 053619 (2004) [7 pages]

Phase diagram of a rotating Bose-Einstein condensate with anharmonic confinement

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A. D. Jackson1, G. M. Kavoulakis2, and E. Lundh3
1Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
2Mathematical Physics, Lund Institute of Technology, P.O. Box 118, SE-22100 Lund, Sweden
3Department of Physics, KTH, SE-10691, Stockholm, Sweden

Received 20 January 2004; published 18 May 2004

We examine the phase diagram of an effectively repulsive Bose-Einstein condensate of atoms that rotates in a quadratic-plus-quartic potential. With use of a variational method we identify the three possible phases of the system as a function of the rotational frequency of the trap and of the coupling constant. The derived phase diagram is shown to be universal and partly exact in the limit of weak interactions and small anharmonicity. The variational results are found to be consistent with numerical solutions of the Gross-Pitaevskii equation.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.053619
DOI:
10.1103/PhysRevA.69.053619
PACS:
03.75.Hh, 03.75.Kk, 67.40.Vs