Mean-field model for the interference of matter waves from a three-dimensional optical trap
arXiv:cond-mat/0209429 · doi:10.1016/S0375-9601(03)00335-9
Abstract
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.
10 LATEX pages; 5 EPS figures; Accepted in Physics Letters A
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- Josephson oscillation of a superfluid Fermi gas
- Topology-induced confined superfluidity in inhomogeneous arrays
- Loss of superfluidity in a Bose-Einstein condensate via forced resonant oscillations
- Evolution of a collapsing and exploding Bose-Einstein condensate in different trap symmetries
- Expansion of a Bose-Einstein condensate formed on a joint harmonic and one-dimensional optical-lattice potentials
- Interference between a large number of independent Bose-Einstein condensates
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- Matter-wave interference, Josephson oscillation and its disruption in a Bose-Einstein condensate on an optical lattice
- Finite-well potential in the 3D nonlinear Schroedinger equation: Application to Bose-Einstein condensation