Transmission and Reflection of Bose-Einstein Condensates Incident on a Gaussian Potential Barrier

TL;DR

This study explores how Bose-Einstein condensates with and without vortices scatter off a Gaussian barrier, revealing vortex dynamics, creation of additional vortices at higher densities, and deriving an analytical reflection coefficient.

Contribution

It provides new insights into vortex behavior during scattering and introduces an analytical expression for the reflection coefficient of rotating condensates.

Findings

Vortex structures are preserved at low densities during scattering.

Higher densities lead to vortex creation and complex dynamics.

Reflection probability depends on initial vorticity and incident velocity.

Abstract

We investigate how Bose-Einstein condensates, whose initial state is either irrotational or contains a single vortex, scatter off a one-dimensional Gaussian potential barrier. We find that for low atom densities the vortex structure within the condensate is maintained during scattering, whereas at medium and high densities, multiple additional vortices can be created by the scattering process, resulting in complex dynamics and disruption of the atom cloud. This disruption originates from two different mechanisms associated respectively with the initial rotation of the atom cloud and the interference between the incident and reflected matter waves. We investigate how the reflection probability depends on the vorticity of the initial state and on the incident velocity of the Bose-Einstein condensate. To interpret our results, we derive a general analytical expression for the reflection coefficient of a rotating Bose-Einstein condensate that scatters off a spatially-varying one-dimensional potential.