Dynamics and Manipulation of Matter-Wave Solitons in Optical Superlattices
arXiv:cond-mat/0507696 · doi:10.1016/j.physleta.2005.11.074
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.
6 pages, revtex, 6 figures, to appear in Physics Letters A; minor modifications from last version
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- Superfluid Dynamics of a Bose-Einstein Condensate in a One Dimensional Optical Super-Lattice
- Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices
- Soliton shape and mobility control in optical lattices
- Designable integrability of the variable coefficient nonlinear Schrödinger equation
- Quasiperiodic Dynamics in Bose-Einstein Condensates in Periodic Lattices and Superlattices