Dynamics of bright matter wave solitons in Bose–Einstein condensates in an expulsive parabolic and complex potential

Abstract

We present a new family of analytic solutions of the nonlinear Schrödinger equation with an imaginary potential that describes the dynamics of a bright soliton in a Bose–Einstein condensate with an expulsive parabolic and complex potential. We found that under a safe range of parameters, the bright soliton can be compressed into very high local matter densities by increasing the value of the feeding parameter.