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arXiv:cond-mat/0506101 · Physical Review A

Magnetic soliton and soliton collisions of spinor Bose-Einstein condensates in an optical lattice

Zai-Dong Li, Peng-Bin He, L. Li, J.-Q. Liang, W. M. Liu

Published May 19, 2005• 65 citations
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Abstract

We study the magnetic soliton dynamics of spinor Bose-Einstein condensates in an optical lattice which results in an effective Hamiltonian of anisotropic pseudospin chain. A modified Landau-Lifshitz equation is derived and exact magnetic soliton solutions are obtained analytically. Our results show that the time oscillation of the soliton size can be controlled in practical experiment by adjusting of the light-induced dipole-dipole interaction. Moreover, the elastic collision of two solitons is investigated.

DOI
10.1103/physreva.71.053611

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Abstract We study construction and dynamics of two-dimensional (2D) anisotropic vortex-bright (VB) soliton in spinor dipolar Bose-Einstein condensates confined in a 2D optical lattice (OL), with two localized components linearly mixed by the spin-orbit coupling and long-range dipole-dipole interaction (DDI). It is found that the OL and DDI can support stable anisotropic VB soliton in the present setting for arbitrarily small value of norm N. We then present a new method via examining the mean square error of norm share of bright component to implement stability analysis. It is revealed that one can control the stability of anisotropic VB soliton only by adjusting OL depth for a fixed DDI. In addition, the dynamics of the anisotropic VB soliton was studied by applying the kick to them. The mobility of the single kicked VB solition is Rabbi-like oscillation. However, for the collision dynamics of two kicked anisotropic VB solitons, their properties mainly depend on their initial distance and OL, and they can realize the transition from the bright component to the vortex component. Our work may provides a convenient way to prepare and manipulate anisotropic VB soliton in high dimensional space.
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