Quantized circular motion of a trapped Bose-Einstein condensate: coherent rotation and vortices

Details Quantized circular motion of a trapped Bose-Einstein condensate: coherent rotation and vortices Quantized circular motion of a trapped Bose-Einstein condensate: coherent rotation and vortices

1997-11-11

arxiv.org/abs/cond-mat/9711084v2

Phys. Rev. A. 57, 4761 (1998)

Physics

Condensed Matter

Statistical Mechanics

13 Pages, 5 Figures, RevTex

Scientific paper

10.1103/PhysRevA.57.4761

We study the creation of vortex states in a trapped Bose-Einstein condensate by a rotating force. For a harmonic trapping potential the rotating force induces only a circular motion of the whole condensate around the trap center which does not depend on the interatomic interaction. For the creation of a pure vortex state it is necessary to confine the atoms in an anharmonic trapping potential. The efficiency of the creation can be greatly enhanced by a sinusodial variation of the force's angular velocity. We present analytical and numerical calculations for the case of a quartic trapping potential. The physical mechanism behind the requirement of an anharmonic trapping potential for the creation of pure vortex states is explained. [Changes: new numerical and analytical results are added and the representation is improved.]

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