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Singularity formation in the Gross-Pitaevskii Equation and Collapse in BEC

2002/08/06 by A. V. Rybin, I. P. Vadeiko, I. P. Vadeĭko +6
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/0208111

6 pages, 4 figures; authors list corrected(GGV)

openalex publication_date 2002/08/06 · arxiv created 2002/08/26 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study a mechanism of collapse of the condensate wave function in the Gross-Pitaevskii theory with attractive interparticle interaction. We reformulate the Gross-Pitaevskii equation as Newton's equations for the particle flux and introduce a collapsing fraction of particles. We assume that the collapsing fraction is expelled from the condensate due to dissipation. Using this hypothesis we analyze the dependence of the condensate collapse on the initial conditions. We found that for a properly chosen negative scattering length the remnant fraction becomes larger when the initial aspect ratio is increased.

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