Dispersive hydrodynamics of nonlinear polarization waves in two-component Bose-Einstein condensates

TL;DR

This paper investigates nonlinear polarization waves in two-component Bose-Einstein condensates near the mixing-demixing transition, revealing universal dynamics, new soliton types, and explicit wave solutions.

Contribution

It introduces a universal dynamical description for polarization waves, identifies a novel algebraic soliton, and analyzes wave solutions in two-component BECs.

Findings

Decoupling of polarization and density dynamics near transition

Discovery of a new algebraic soliton type

Explicit solutions for simple waves and analysis of the Gurevich-Pitaevskii problem

Abstract

We study one dimensional mixtures of two-component Bose-Einstein condensates in the limit where the intra-species and inter-species interaction constants are very close. Near the mixing-demixing transition the polarization and the density dynamics decouple. We study the nonlinear polarization waves, show that they obey a universal (i.e., parameter free) dynamical description, identify a new type of algebraic soliton, explicitly write simple wave solutions, and study the Gurevich-Pitaevskii problem in this context.