Effects of time-periodic linear coupling on two-component Bose-Einstein condensates in two dimensions
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Elsevier B.V.
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We examine two-component Gross-Pitaevskii equations with nonlinear and linear couplings, assuming self-attraction in one species and self-repulsion in the other, while the nonlinear inter-species coupling is also repulsive. For initial states with the condensate placed in the self-attractive component, a sufficiently strong linear coupling switches the collapse into decay (in the free space). Setting the linear-coupling coefficient to be time-periodic (alternating between positive and negative values, with zero mean value) can make localized states quasi-stable for the parameter ranges considered herein, but they slowly decay. The 2D states can then be completely stabilized by a weak trapping potential. In the case of the high-frequency modulation of the coupling constant, averaged equations are derived, which demonstrate good agreement with numerical solutions of the full equations. (C) 2007 Elsevier B.V. All rights reserved.
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nonlinear schrodinger equations, multiple components, linear coupling
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Inglês
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Physics Letters A. Amsterdam: Elsevier B.V., v. 372, n. 10, p. 1631-1638, 2008.
