Families of Matter-Waves for Two-Component Bose-Einstein Condensates

TL;DR

This paper presents new families of stable matter-wave solutions in two-component Bose-Einstein condensates, including domain walls and novel soliton combinations, with potential applications in nonlinear optics and BEC manipulation.

Contribution

It introduces the first examples of antidark or gray solitons in one component coupled with bright or dark solitons in the other, expanding the known solution families for two-component BECs.

Findings

Most solutions are linearly stable across their existence domain.

Structures remain robust under parabolic and periodic potentials.

Solutions are relevant to both BECs and nonlinear optics.

Abstract

We produce several families of solutions for two-component nonlinear Schr\"{o}dinger/Gross-Pitaevskii equations. These include domain walls and the first example of an antidark or gray soliton in the one component, bound to a bright or dark soliton in the other. Most of these solutions are linearly stable in their entire domain of existence. Some of them are relevant to nonlinear optics, and all to Bose-Einstein condensates (BECs). In the latter context, we demonstrate robustness of the structures in the presence of parabolic and periodic potentials (corresponding, respectively, to the magnetic trap and optical lattices in BECs).