Transition to the Giant Vortex State in an Harmonic Plus Quartic Trap

Details Transition to the Giant Vortex State in an Harmonic Plus Quartic Trap Transition to the Giant Vortex State in an Harmonic Plus Quartic Trap

2005-08-22

arxiv.org/abs/cond-mat/0508515v1

Physics

Condensed Matter

Statistical Mechanics

19 pages, 10 figures

Scientific paper

10.1103/PhysRevA.73.013614

We consider a rapidly rotating Bose-condensed gas in an harmonic plus quartic trap. At sufficiently high rotation rates the condensate acquires an annular geometry with the superposition of a vortex lattice. With increasing rotation rate the lattice evolves into a single ring of vortices. Of interest is the transition from this state to the giant vortex state in which the circulation is carried by only a central vortex. By analyzing the Gross-Pitaevskii energy functional variationally, we have been able to map out the phase boundary between these two states as a function of the rotation rate and the various trapped gas parameters. The variational results are in good qualitative agreement with those obtained by means of a direct numerical solution of the Gross-Pitaevskii equation.

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