Mean-field model for the interference of matter waves from a three-dimensional optical trap

Details Mean-field model for the interference of matter waves from a three-dimensional optical trap Mean-field model for the interference of matter waves from a three-dimensional optical trap

2002-09-18

arxiv.org/abs/cond-mat/0209429v2

Phys. Lett. A. 310 (2003) 229-235

Physics

Condensed Matter

Soft Condensed Matter

10 LATEX pages; 5 EPS figures; Accepted in Physics Letters A

Scientific paper

10.1016/S0375-9601(03)00335-9

Using the mean-field time-dependent Gross-Pitaevskii equation we study the formation of a repulsive Bose-Einstein condensate on a combined optical and harmonic traps in two and three dimensions and subsequent generation of the interference pattern upon the removal of the combined traps as in the experiment by Greiner {\it et al.} [Nature (London) {\bf 415}, 39 (2002)]. For optical traps of moderate strength, interference pattern of 27 (9) prominent bright spots is found to be formed in three (two) dimensions on a cubic (square) lattice in agreement with experiment. Similar interference pattern can also be formed upon removal of the optical lattice trap only. The pattern so formed can oscillate for a long time in the harmonic trap which can be observed experimentally.

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