Interaction of matter-wave gap solitons in optical lattices

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.

arXiv comment12 pages, 7 figures

References in corpus (7)

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• Dispersion management for atomic matter waves
• Creation of gap solitons in Bose-Einstein condensates
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• Enhanced mobility of quantum droplets in periodic lattices
• Elastic-like Collision of Gap Solitons in Bragg Gap Regions within Nonlocal Nonlinear Photonic Crystals
• Quantum switches and quantum memories for matter-wave lattice solitons
• Supersolid Gap Soliton in a Bose-Einstein Condensate and Optical Ring Cavity coupling system
• Gap solitons in optical lattices embedded into nonlocal media
• Collision of two self-trapped atomic matter wave packets in an optical ring cavity
• Interactions and Collisions of Discrete Breathers in Two-Species Bose-Einstein Condensates in Optical Lattices