Impurity localization, and collision properties of symbiotic dark-bright solitons in superfluid-impurity system

TL;DR

This paper explores the formation and interaction of symbiotic dark-bright solitons in a two-dimensional Bose-Einstein condensate mixture with impurity characteristics, revealing stable structures and phase-dependent collision behaviors.

Contribution

It demonstrates the existence of stable symbiotic dark-bright solitons in a superfluid-impurity system using mean-field theory and analyzes their collision properties.

Findings

Stable symbiotic dark-bright solitons form under repulsive interactions.

Solitons exhibit merging or repulsion depending on phase differences.

The study advances understanding of impurity dynamics in superfluid mixtures.

Abstract

We investigate the dynamics of a binary mixture of Bose-Einstein condensates in the impurity limit -- where one component is dilute enough to be treated like an impurity -- and confined to two dimensions. Using the mean-field coupled Gross-Pitaevskii equations, we find that the binary mixture supports the formation of stable symbiotic dark-bright solitons when the inter- and intra-component interactions are repulsive. We further study the interaction between solitons and observe that the solitons undergo merging and repulsion depending on the relative phase between the bright component of the composite structure.