Periodic waves in two-component Bose-Einstein condensates with repulsive interactions between atoms

TL;DR

This paper investigates periodic wave solutions in two-component Bose-Einstein condensates with repulsive interactions, deriving exact solutions in the Manakov limit and exploring new nonlinear polarization wave types relevant to experimental observations.

Contribution

It provides exact one-phase solutions for the Manakov limit and introduces new nonlinear polarization wave types in two-component BECs.

Findings

Exact solutions in the Manakov limit

Identification of new polarization wave types

Connection to experimental periodic structures

Abstract

We consider periodic waves in miscible two-component Bose-Einstein condensates with repulsive nonlinear interactions constants. Exact one-phase solution is found for the case when all these constants are equal to each other (i.e., for Manakov limit). New types of nonlinear polarization waves are considered in detail. The connection of the solutions found with experimentally observed periodic structures in two-component condensates is discussed.