Controlled self-similar matter waves in PT-symmetric waveguide

TL;DR

This paper investigates the dynamics of Bose-Einstein condensates in PT-symmetric waveguides, deriving self-similar matter wave solutions and demonstrating control over their behavior via system parameters.

Contribution

It introduces a self-similar approach to find diverse matter wave solutions in a PT-symmetric Bose-Einstein condensate system with quadratic-cubic nonlinearity.

Findings

Derived bright, kink-type, rational dark, and Lorentzian self-similar waves.

Showed control of wave dynamics through potential, source, and nonlinearities.

Provided analytical solutions for complex nonlinear wave behavior.

Abstract

We study the dynamics of Bose-Einstein condensate coupled to a waveguide with parity-time symmetric potential in the presence of quadratic-cubic nonlinearity modelled by Gross-Pitaevskii equation with external source. We employ the self-similar technique to obtain matter wave solutions, such as bright, kinktype, rational dark and Lorentzian-type self-similar waves for this model. The dynamical behavior of self-similar matter waves can be controlled through variation of trapping potential, external source and nature of nonlinearities present in the system.