Two-dimensional nonlinear vector states in Bose-Einstein condensates

TL;DR

This paper investigates the stability of 2D vector matter waves, such as soliton-vortex and vortex-vortex pairs, in two-component Bose-Einstein condensates with various intercomponent interactions, using stability analysis and numerical simulations.

Contribution

It provides the first detailed stability analysis of 2D vector states in BECs considering both attractive and repulsive intercomponent interactions.

Findings

Soliton-vortex pairs can be stable in certain parameter regions.

Vortex-vortex pairs are always unstable.

Numerical simulations confirm the stability analysis results.

Abstract

Two-dimensional (2D) vector matter waves in the form of soliton-vortex and vortex-vortex pairs are investigated for the case of attractive intracomponent interaction in two-component Bose-Einstein condensates. Both attractive and repulsive intercomponent interactions are considered. By means of a linear stability analysis we show that soliton-vortex pairs can be stable in some regions of parameters while vortex-vortex pairs turn out to be always unstable. The results are confirmed by direct numerical simulations of the 2D coupled Gross-Pitaevskii equations.