Solitary waves in mixtures of Bose gases confined in annular traps

TL;DR

This paper analytically investigates solitary-wave solutions in a two-component Bose-Einstein condensate confined in a ring potential, revealing unique solutions and a generalized dispersion relation with notable features.

Contribution

It provides the first analytical evaluation of solitary-wave solutions in two-component Bose gases in ring traps, highlighting their uniqueness and complex dispersion relations.

Findings

Solitary-wave solutions are analytically derived and shown to be unique.

The dispersion relation for the two-component system generalizes the single-component case.

The solutions exhibit interesting features in their dispersion relations.

Abstract

A two-component Bose-Einstein condensate that is confined in a one-dimensional ring potential supports solitary-wave solutions, which we evaluate analytically. The derived solutions are shown to be unique. The corresponding dispersion relation that generalizes the case of a single-component system shows interesting features.