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Interaction of matter-wave gap solitons in optical lattices

Beata J. Dabrowska·Elena A. Ostrovskaya·Yuri S. Kivshar
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Abstract

We study mobility and interaction of gap solitons in a Bose-Einstein condensate (BEC) confined by an optical lattice potential. Such localized wavepackets can exist only in the gaps of the matter-wave band-gap spectrum and their interaction properties are shown to serve as a measure of discreteness imposed onto a BEC by the lattice potential. We show that inelastic collisions of two weakly localized near-the-band-edge gap solitons provide simple and effective means for generating strongly localized in-gap solitons through soliton fusion.

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Beata J. Dabrowska, Elena A. Ostrovskaya, Yuri S. Kivshar. 2004-08-11. Interaction of matter-wave gap solitons in optical lattices. https://doi.org/10.1088/1464-4266%2F6%2F10%2F007

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