Dark-bright ring solitons in Bose-Einstein condensates

TL;DR

This paper investigates dark-bright ring solitons in two-component Bose-Einstein condensates, demonstrating how the bright component stabilizes the ring structure and analyzing bifurcations and symmetry-breaking phenomena.

Contribution

It introduces a model for dark-bright ring soliton dynamics, highlighting the stabilizing role of the bright component and exploring bifurcations and non-radially symmetric configurations.

Findings

Bright component stabilizes dark ring solitons.

Bifurcation analysis reveals symmetry-breaking transitions.

Stabilization extends to non-radial structures.

Abstract

We study dark-bright ring solitons in two-component Bose-Einstein condensates. In the limit of large densities of the dark component, we describe the soliton dynamics by means of an equation of motion for the ring radius. The presence of the bright, "filling" species is demonstrated to have a stabilizing effect on the ring dark soliton. Near the linear limit, we discuss the symmetry-breaking bifurcations of dark-bright soliton stripes and vortex-bright soliton clusters from the dark-bright ring and relate the stabilizing effect of filling to changes in the bifurcation diagram. Finally, we show that stabilization by means of a second component is not limited to the radially symmetric structures, but can also be observed in a cross-like dark-bright soliton configuration.