Trapping and transmission of matter-wave solitons in a collisionally inhomogeneous environment

Department of Mathematics and Statistics, University of Massachusetts Amherst, Amherst Center, Massachusetts, United States
Physical Review A (Impact Factor: 2.81). 09/2005; 74(5). DOI: 10.1103/PhysRevA.74.053614
Source: arXiv


We investigate bright matter-wave solitons in the presence of a spatially varying scattering length. It is demonstrated that, even in the absence of any external trapping potential, a soliton can be confined due to the inhomogeneous collisional interactions. Moreover we observe the enhanced transmission of matter-wave solitons through potential barriers for suitably chosen spatial variations of the scattering length. The results indicate that the manipulation of atomic interactions can become a versatile tool to control the dynamics of matter waves. Comment: 4 pages, 4 figures

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Available from: D. J. Frantzeskakis, Sep 21, 2013
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    ABSTRACT: The transmissions of matter wave solitons through linear and nonlinear inhomogeneities induced by the spatial variations of the trap and the scattering length in Bose-Einstein condensates are investigated. New phenomena, such as the enhanced transmission of a soliton through a linear trap by a modulation of the scattering length, are exhibited. The theory is based on the perturbed Inverse Scattering Transform for solitons, and we show that radiation effects are important. Numerical simulations of the Gross-Pitaevskii equation confirm the theoretical predictions. Comment: 6 pages, 4 figures
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