English

Vortices in a trapped dilute Bose-Einstein condensate

Statistical Mechanics 2009-11-07 v1

Abstract

We review the theory of vortices in trapped dilute Bose-Einstein condensates and compare theoretical predictions with existing experiments. Mean-field theory based on the time-dependent Gross-Pitaevskii equation describes the main features of the vortex states, and its predictions agree well with available experimental results. We discuss various properties of a single vortex, including its structure, energy, dynamics, normal modes and stability, as well as vortex arrays. When the nonuniform condensate contains a vortex, the excitation spectrum includes unstable (``anomalous'') mode(s) with negative frequency. Trap rotation shifts the normal-mode frequencies and can stabilize the vortex. We consider the effect of thermal quasiparticles on vortex normal modes as well as possible mechanisms for vortex dissipation. Vortex states in mixtures and spinor condensates are also discussed.

Keywords

Cite

@article{arxiv.cond-mat/0102003,
  title  = {Vortices in a trapped dilute Bose-Einstein condensate},
  author = {Alexander Fetter and Anatoly Svidzinsky},
  journal= {arXiv preprint arXiv:cond-mat/0102003},
  year   = {2009}
}

Comments

50 pages, 16 eps figures, a topical review written for Journal of Physics: Condensed Matter

R2 v1 2026-07-22T10:16:00.835Z