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

TL;DR

This paper demonstrates matter wave switching in two-component Bose-Einstein condensates through soliton interactions, achieved by manipulating time-dependent parameters to transform the coupled equations into an integrable model, and explores various trap configurations.

Contribution

It introduces exact multi-soliton solutions for a time-dependent coupled BEC system, showing how to control matter redistribution via shape-changing soliton interactions.

Findings

Matter wave switching is possible through soliton interactions.

Transformations to the Manakov model enable analytical solutions.

Different trap modulations affect soliton collision behaviors.

Abstract

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.