English

Explaining critical angular velocities of the vortex formation in a stirred Bose-Einstein condensate

Condensed Matter 2009-10-31 v2

Abstract

The problem of explanation of the critical angular velocity Ωc\Omega_c when the formation of a vortex in the stirred Bose-Einstein condensate becomes energetically possible, is considered in the framework of the variational approach. The origin of smallness of the calculated Ωc\Omega_c in comparison with the measured values which takes place for pure quantum state with the unit angular momentum per condensed particle, is uncovered. The agreement with the measured Ωc\Omega_c is achieved upon admitting a small admixture of the zero angular momentum state in the wave function of the one-vortex quantum state prepared after stirring. The portion of this admixture amounts to 10 - 13 % of the total condensed atoms. Possible test of this hypothesis is proposed.

Keywords

Cite

@article{arxiv.cond-mat/0011104,
  title  = {Explaining critical angular velocities of the vortex formation in a stirred Bose-Einstein condensate},
  author = {A. A. Kozhevnikov},
  journal= {arXiv preprint arXiv:cond-mat/0011104},
  year   = {2009}
}

Comments

Latex, 5 pages including 1 ps figure, references added in v2