Dynamics and Manipulation of Matter-Wave Solitons in Optical Superlattices

D. J. Frantzeskakis; Mason A. Porter; P. G. Kevrekidis; R. Carretero-Gonz\'alez

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Dynamics and Manipulation of Matter-Wave Solitons in Optical Superlattices

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arxiv cond-mat/0507696 v3 pith:3RFP2SHV submitted 2005-07-28 cond-mat.other math.DSnlin.PSphysics.atom-ph

Mason A. Porter , P. G. Kevrekidis , R. Carretero-González , D. J. Frantzeskakis This is my paper

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keywords solitonssuperlatticeslatticematter-waveopticalsubstructuretime-dependentanalyze

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We analyze the existence and stability of bright, dark, and gap matter-wave solitons in optical superlattices. Then, using these properties, we show that (time-dependent) ``dynamical superlattices'' can be used to controllably place, guide, and manipulate these solitons. In particular, we use numerical experiments to displace solitons by turning on a secondary lattice structure, transfer solitons from one location to another by shifting one superlattice substructure relative to the other, and implement solitonic ``path-following'', in which a matter wave follows the time-dependent lattice substructure into oscillatory motion.

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