Dynamical simulations of two density-coupled 1D Bose-Einstein condensates

Abstract

We consider a system of two trapped density-coupled Bose-Einstein condensates in 1D, described by the coupled Gross-Pitaevskii equations. We perform numerical simulations to study the stability of two stationary states: the ground state and a dark-antidark soliton state. By perturbing these states we characterize their oscillation frequency and find that it decreases for increasing interspecies interaction. Our numerical results are in agreement with analytical predictions found in the literature.