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Dark Matter-Wave Solitons in Optical Lattices

Pearl J. Y. Louis·Elena A. Ostrovskaya·Yuri S. Kivshar
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Abstract

We analyze the Floquet-Bloch matter-wave spectrum of Bose-Einstein condensates loaded into single-periodic optical lattices and double-periodic superlattices. In the framework of the Gross-Pitaevskii equation, we describe the structure and analyze the mobility properties of dark matter-wave solitons residing on the background of extended nonlinear Bloch-type states. We demonstrate that interaction between dark solitons can be effectively controlled in optical superlattices.

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Pearl J. Y. Louis, Elena A. Ostrovskaya, Yuri S. Kivshar. 2003-11-04. Dark Matter-Wave Solitons in Optical Lattices. https://arxiv.org/abs/cond-mat/0311059

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