Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-05-21
J. Phys. B: At. Mol. Opt. Phys. 36 (2003) 2943-2949
Physics
Condensed Matter
Soft Condensed Matter
Latex with 7 eps figures, Accepted in Journal of Physics B
Scientific paper
10.1088/0953-4075/36/13/321
The stability of an attractive Bose-Einstein condensate on a joint one-dimensional optical lattice and an axially-symmetric 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-symmetric 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 along the axial direction of the harmonic trap. This variation of the critical number of atoms can be observed experimentally and compared with the present calculation.
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