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Physical Review A

Dynamics of matter solitons in weakly modulated optical lattices (6 pages)

V. V. Konotop, V. A. Brazhnyl

Published Jan 1, 2004• 0 citations
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It was shown that matter solitons can be effectively managed by smooth variation of parameters of optical lattices in which the atomic condensate is embedded. The phenomenon is based on the effect of the lattice modulation of the carrier wave that transports the soliton and thus can be well described in terms of the effective mass approach, where a specific form of the band structure is of primary importance. We considered linear and parabolic modulation to demonstrate the possibilities of management of matter solitons.
It is shown that matter solitons can be effectively managed by means of smooth variations of parameters of optical lattices in which the condensate is loaded. The phenomenon is based on the effect of lattice modulations on the carrier wave transporting the soliton and that is why it is well understood in terms of the effective mass approach, where a particular spatial configuration of the band structure is of primary importance. Linear, parabolic, and spatially localized modulations are considered as case examples. It is shown that these defects can originate an accelerating and oscillating motion of matter solitons as well as they can simulate soliton interactions with attractive and repulsive defects.
Motivated by the recent experimental achievements in the work with Bose-Einstein condensates (BECs), we consider bright matter-wave solitons, in the presence of a parabolic magnetic trap and a spatially periodic optical lattice (OL), in the attractive BEC. We examine pinned states of the soliton and their stability by means of perturbation theory. The analytical predictions are found to be in good agreement with numerical simulations. We then explore possibilities to use a time-modulated OL as a means of stopping and trapping a moving soliton, and of transferring an initially stationary soliton to a prescribed position by a moving OL. We also study the emission of radiation from the soliton moving across the combined magnetic trap and OL. We find that the soliton moves freely (without radiation) across a weak lattice, but suffers strong loss in deeper OLs.