English

Bose-Einstein Condensation in a Confined Geometry with and without a Vortex

Condensed Matter 2009-10-30 v2

Abstract

Various widely-used mean-field type theories for a dilute Bose gas are critically examined in the light of the recent discovery of Bose-Einstein condensation of atomic gases in a confined geometry. By numerically solving the mean-field equations within the framework of the Bogoliubov approximation both stationary non-uniform case and the vortex case under rotation in a cylindrically symmetric vessel are investigated. We obtain spatial structures of condensate, non-condensate, anomalous correlation. The low lying excitation spectra, the local density of states and the circulating current density in a vortex corresponding to various levels of mean-field theories are predicted.

Keywords

Cite

@article{arxiv.cond-mat/9708205,
  title  = {Bose-Einstein Condensation in a Confined Geometry with and without a Vortex},
  author = {Tomoya Isoshima and Kazushige Machida},
  journal= {arXiv preprint arXiv:cond-mat/9708205},
  year   = {2009}
}

Comments

16 pages, LaTeX with jpsj.sty, 13 eps figures. Figures improved

R2 v1 2026-07-22T11:59:17.691Z