Dynamics of bright matter-wave solitons in inhomogeneous cigar-type Bose-Einstein condensate

TL;DR

This paper investigates the complex dynamics of bright matter-wave solitons in inhomogeneous Bose-Einstein condensates, revealing phenomena like trapping, reflection, transmission, and conditions for collapse through analytical and numerical methods.

Contribution

It introduces a detailed analysis of bright soliton interactions with local inhomogeneities in BECs, including a new condition for wave collapse.

Findings

Soliton-impurity interactions include trapping, reflection, and transmission.

A condition for the collapse of bright solitary waves is derived.

Numerical simulations support analytical predictions.

Abstract

We discuss the possible observation of a new type of standing nonlinear atomic matter wave in the condensate: the nonlinear impurity mode. It is investigated dynamical effects of a bright soliton in Bose-Einstein-condensed (BEC) systems with local space variations of the two-body atomic scattering length. A rich dynamics is observed in the interaction between the soliton and an inhomogeneity. Processes as trapping, reflection and transmission of the bright matter soliton due to the impurity are studied considering an analytical time-dependent variational approach and also by full numerical simulation. A condition is obtained for the collapse of the bright solitary wave in the quasi-one-dimensional BEC with attractive local inhomogeneity.