Magnetic Richtmyer-Meshkov instability in a two-component Bose-Einstein condensate

TL;DR

This paper explores the magnetically induced Richtmyer-Meshkov instability in two-component Bose-Einstein condensates, revealing quantum-specific features through analytical models and numerical simulations.

Contribution

It introduces new analytical models for the instability's development and compares them with numerical simulations, highlighting quantum effects absent in classical cases.

Findings

Quantum capillary waves influence the instability

Droplet separation behavior differs from classical predictions

Models accurately predict the nonlinear development stages

Abstract

The magnetically induced Richtmyer-Meshkov instability in a two-component Bose-Einstein condensate is investigated. We construct and study analytical models describing the development of the instability at both the linear and nonlinear stages. The models indicate new features of the instability: the influence of quantum capillary waves and the separation of droplets, which are qualitatively different from the classical case. We perform numerical simulations of the instability in a trapped Bose-Einstein condensate using the Gross-Pitaevskii equation and compare the simulation results to the model predictions.