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On the Thomas-Fermi approximation in the bulk of trapped Bose-Einstein condensed gases

1999/10/08 by Gyula Bene, Bene, Gyula, P. Szépfalusy +2
Computer Science · Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum Information and Cryptography #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9910139

4 pages, RevTeX, no figures, corrections and further results are included

openalex publication_date 1999/10/08 · arxiv created 2000/03/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Corrections to the Thomas-Fermi-type solution of the Gross-Pitaevskii equation are inevitable in order to get correctly the frequencies of the low lying modes out of the Bogolyubov equations. These corrections are important in the bulk, too, thus the failure of the Thomas-Fermi approximation is not confined to the surface. We discuss this effect quantitatively and consider similar phenomena of spin fluctuations in Bose-Einstein condensed gases in an optical trap.

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