Dilute Bose-Einstein Condensate in a Trap: Characteristic Lengths and Critical Velocities

Alexander L. Fetter

Dilute Bose-Einstein Condensate in a Trap: Characteristic Lengths and Critical Velocities

Statistical Mechanics 2008-02-03 v1

Authors: Alexander L. Fetter

Abstract

The Bogoliubov approximation and the Gross-Pitaevskii equation characterize the effect of repulsive interactions on a dilute ideal Bose-Einstein gas in a spherical harmonic trap. For large $N$ , the interactions expand the condensate relative to an ideal Bose gas; both the speed of sound and critical angular velocity $\Omega_{c1}$ for creation of a quantized vortex depend crucially on the interparticle repulsion through the coherence length $\xi$ .

Keywords

Bose-Einstein condensate Bogoliubov approximation Gross-Pitaevskii equation critical velocity quantized vortex coherence length

Cite

@article{arxiv.cond-mat/9709207,
  title  = {Dilute Bose-Einstein Condensate in a Trap: Characteristic Lengths and Critical Velocities},
  author = {Alexander L. Fetter},
  journal= {arXiv preprint arXiv:cond-mat/9709207},
  year   = {2008}
}

Comments

6 pages, latex, no figures, to appear in Proceedings of Ninth International Conference on Recent Progress in Many Body Theories, Sydney, July, 1997

Dilute Bose-Einstein Condensate in a Trap: Characteristic Lengths and Critical Velocities

Abstract

Keywords

Cite

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