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

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

1997-09-18

arxiv.org/abs/cond-mat/9709207v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, latex, no figures, to appear in Proceedings of Ninth International Conference on Recent Progress in Many Body Theorie

Scientific paper

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 $\xi$.

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