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Dynamics and Manipulation of Matter-Wave Solitons in Optical Superlattices

Mason A. Porter·P. G. Kevrekidis·R. Carretero-González·D. J. Frantzeskakis
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Abstract

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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Mason A. Porter, P. G. Kevrekidis, R. Carretero-González, D. J. Frantzeskakis. 2005-11-29. Dynamics and Manipulation of Matter-Wave Solitons in Optical Superlattices. https://doi.org/10.1016/j.physleta.2005.11.074

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