Slowly moving matter-wave gap soliton propagation in
weak random optical lattices |
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Authors: | M R Zhang X Y Jiang Y L Zhang L Shi J Zi J Y Zhou |
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Institution: | (1) Surface Physics Laboratory (National Key Lab), Fudan University, Shanghai, 200433, P.R. China;(2) Institute of Microsystem and Information Technology, CAS, Shanghai, 200050, P.R. China;(3) State Key Laboratory of Optoelectronic Materials and Technologies, Zhongshan University, Guangzhou, 510275, P.R. China |
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Abstract: | We systematically investigate slowly moving matter-wave gap
soliton propagation in weak random optical lattices. With the weak
randomness, an effective-particle theory is constructed to show
that the motion of a gap soliton is similar to a particle moving
in random potentials. Based on the effective-particle theory, the
effects of the randomness on gap solitons are obtained and the
trajectories of gap solitons are well predicted. Moreover, the
general laws that describe the movement depending on the weak
randomness are obtained. We find that with an increase of the
random strength, the ensemble-average velocity reduces slowly and
the reflection probability becomes larger. The theoretical results
based on the effective-particle theory are confirmed by the
numerical simulations based on the Gross-Pitaevskii equation. |
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Keywords: | 03 75 Lm Tunneling Josephson effect Bose-Einstein condensates in periodic potentials solitons vortices and topological excitations 42 65 Tg Optical solitons nonlinear guided waves 05 45 Yv Solitons |
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