Counterpropagating Matter Waves in Optical Lattices |
S. Prvanovića, D. Jovića, b, R. Jovanovića, b, A. Strinića,b and M. Belićb
a Institute of Physics, P.O. Box 57, 11001 Belgrade, Serbia b Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar |
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An investigation of Bose-Einstein condensate in two-dimensional optical lattice potentials, formed by laser beams, is carried out. We are interested in the dynamics of Bose-Einstein condensate in a square optical lattice, where the periodic potential can lead to the stabilization of an otherwise unstable Bose-Einstein condensate. The behavior of Bose-Einstein condensate in optical lattices is described by the nonlinear Gross-Pitaevskii equation, which we treat numerically. By applying the Petviashvili iteration method, we demonstrate the existence of solitonic solutions in the case of counterpropagating matter waves, and analyze their stability. |
DOI: 10.12693/APhysPolA.116.507 PACS numbers: 03.75.Lm |