English

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

Statistical Mechanics 2009-10-30 v2 Quantum Physics

Abstract

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.]

Keywords

Cite

@article{arxiv.cond-mat/9711084,
  title  = {Quantized circular motion of a trapped Bose-Einstein condensate: coherent rotation and vortices},
  author = {Karl-Peter Marzlin and Weiping Zhang},
  journal= {arXiv preprint arXiv:cond-mat/9711084},
  year   = {2009}
}

Comments

13 Pages, 5 Figures, RevTex