Dilute Bose-Einstein Condensate in a Trap: Characteristic Lengths and Critical Velocities
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 c1 for creation of a quantized vortex depend crucially on the interparticle repulsion through the coherence length .
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.