Matter wave switching in Bose-Einstein condensates via intensity redistribution soliton interactions

Details Matter wave switching in Bose-Einstein condensates via intensity redistribution soliton interactions Matter wave switching in Bose-Einstein condensates via intensity redistribution soliton interactions

2010-04-22

arxiv.org/abs/1004.3945v2

J. Math. Phys. 52, 023515 (2011)

Physics

Condensed Matter

Quantum Gases

11 pages, 14 figures, 1 table

Scientific paper

10.1063/1.3553182

Using time dependent nonlinear (s-wave scattering length) coupling between the components of a weakly interacting two component Bose-Einstein condensate (BEC), we show the possibility of matter wave switching (fraction of atoms transfer) between the components via shape changing/intensity redistribution (matter redistribution) soliton interactions. We investigate the exact bright-bright N-soliton solution of an effective one-dimensional (1D) two component BEC by suitably tailoring the trap potential, atomic scattering length and atom gain or loss. In particular, we show that the effective 1D coupled Gross-Pitaevskii (GP) equations with time dependent parameters can be transformed into the well known completely integrable Manakov model described by coupled nonlinear Schr\"odinger (CNLS) equations by effecting a change of variables of the coordinates and the wave functions under certain conditions related to the time dependent parameters. We obtain the one-soliton solution and demonstrate the shape changing/matter redistribution interactions of two and three soliton solutions for the time independent expulsive harmonic trap potential, periodically modulated harmonic trap potential and kink-like modulated harmonic trap potential. The standard elastic collision of solitons occur only for a specific choice of soliton parameters.

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