Faraday instability in a two-component Bose Einstein condensate

TL;DR

This paper studies the Faraday instability in a two-component Bose-Einstein condensate under periodic transverse confinement modulation, revealing that phase mixed states are more prone to pattern formation than segregated states.

Contribution

It introduces a model using coupled Mathieu equations to analyze the instability dynamics in two-component BECs with new insights into phase-dependent stability.

Findings

Phase mixed states are more unstable to pattern formation.

Coupled Mathieu equations effectively describe the system dynamics.

Pattern formation varies with phase configuration.

Abstract

Motivated by recent experiments on Faraday waves in Bose Einstein condensates (BEC) we investigate the dynamics of two component cigar shaped BEC subject to periodic modulation of the strength of the transverse confinement. It is shown that two coupled Mathieu equations govern the dynamics of the system. We found that the two component BEC in a phase mixed state is relatively more unstable towards pattern formation than the phase segregated state.