PT-Symmetric potential impact on the scattering of a Bose-Einstein condensate from a Gaussian Obstacle

TL;DR

This paper studies how PT-symmetric potentials influence the scattering behavior of Bose-Einstein Condensates interacting with Gaussian obstacles, revealing control over reflection and transmission flux.

Contribution

It provides a comparative analysis of analytical and numerical methods for BEC scattering with Gaussian obstacles, highlighting the impact of PT-symmetric potentials on scattering dynamics.

Findings

PT-symmetric potential controls BEC reflection and transmission.

Limitations of the CGLE method due to limited variational parameters.

Analytical and numerical results show consistent scattering behavior.

Abstract

The scattering of a Bose-Einstein Condensate (BEC) from a Gaussian well and Gaussian barrier is investigated over a wide range of depths and heights, respectively. We compare analytical and numerical results for a BEC scattering from Gaussian Obstacles, both in the presence and in the absence of PT-symmetric potential. And we find out that the Complex Ginzburg-Landau Equation (CGLE) method has limitations due to the limited number of variational parameters of the ansatz. We also find that the presence of the PT-symmetric potential controls the reflection and the transmission flux of the BEC through the Gaussian Obstacle.