Theory is developed to study the stationary and propagating properties of a Bose-Einstein condensate (BEC) in a finite optical lattice. The BEC is formed in a finite trapping potential and then exposed to an infinite periodic potential created by off-resonance multiple laser beams. The macroscopic wave function of BEC in this case is described by the standard Gross-Pitaevskii equation and is solved approximately in terms of the Bloch function expansion. With this approach, the effect of the finite trapping potential on the lattice BEC can approximately be separated from that of the periodic potential. Comparisons with exact numerical solutions demonstrate the effectiveness of the approach in describing the dynamics of BEC in a finite optical lattice.
|Number of pages||1|
|Journal||IQEC, International Quantum Electronics Conference Proceedings|
|Publication status||Published - 1999|