Stability and The Existence of Coherent Structure in Demixed State of Binary BEC

TL;DR

This paper analyzes the stability of uniform states in binary Bose-Einstein condensates, revealing conditions for instability and the existence of pulse solutions influenced by inter-condensate interactions.

Contribution

It provides a linear stability analysis of the Gross-Pitaevskii equation and demonstrates the existence of pulse solutions in binary BECs, highlighting the impact of inter-condensate coupling.

Findings

Uniform state becomes unstable beyond a critical wave number

A stationary periodic state does not exist

Pulse solutions are found influenced by the other condensate

Abstract

From a linear stability analysis of the Gross Pitaevskii equation for binary Bose Einstein condensates, it is found that the uniform state becomes unstable to a periodic perturbation of wave number k if k exceeds a critical value kc. However we find that a stationary spatially periodic state does not exist. We show the existence of pulse type solutions, when the pulse structure for one condensate is strongly influenced by the presence of the other condensate.