Mode bifurcation in the Rayleigh-Taylor instability of binary condensates

TL;DR

This paper investigates the Rayleigh-Taylor instability in anisotropic binary Bose-Einstein condensates, analyzing mode bifurcations and confirming analytical predictions with numerical results.

Contribution

It provides an analytical study of interface normal modes and bifurcation conditions in binary condensates, supported by numerical validation.

Findings

Normal modes are Mathieu functions that bifurcate at specific anisotropy ratios.

Analytical bifurcation parameters agree well with numerical simulations.

Mode bifurcation depends on anisotropy and atom number ratio.

Abstract

We examine the generation and subsequent evolution of Rayleigh Taylor instability in anisotropic binary Bose-Einstein condensates. Considering a pancake-shaped geometry, to initiate the instability we tune the intraspecies interaction and analytically study the normal modes of the interface in elliptic cylindrical coordinates. The normal modes are then Mathieu functions and undergoes bifurcation at particular values of anisotropy and ratio of number of atoms. We find that the analytical estimates of the bifurcation parameters are in good agreement with the numerical results.