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The critical number of atoms in an attractive Bose–Einstein condensate on optical plus harmonic traps

2003/05/21 by Sadhan K. Adhikari
Physics and Astronomy · #Advanced Frequency and Time Standards #Cold Atom Physics and Bose-Einstein Condensates #Strong Light-Matter Interactions #cond-mat.other #cond-mat.soft

paper · pdf · doi:10.1088/0953-4075/36/13/321

published as J. Phys. B: At. Mol. Opt. Phys. 36 (2003) 2943-2949 · Latex with 7 eps figures, Accepted in Journal of Physics B

arxiv created 2003/05/21 · openalex publication_date 2003/06/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

The stability of an attractive Bose–Einstein condensate on a joint one-dimensional optical lattice and an axially symmetrical harmonic trap is studied using the numerical solution of the time-dependent mean-field Gross–Pitaevskii equation and the critical number of atoms for a stable condensate is calculated. We also calculate this critical number of atoms in a double-well potential which is always greater than that in an axially symmetrical harmonic trap. The critical number of atoms in an optical trap can be made smaller or larger than the corresponding number in the absence of the optical trap by moving a node of the optical lattice potential in the axial direction of the harmonic trap. This variation of the critical number of atoms can be observed experimentally and compared with the present calculations.

Citations