Spin modulation instabilities and phase separation dynamics in trapped two-component Bose condensates

TL;DR

This paper investigates the complex dynamics and phase separation in trapped two-component Bose-Einstein condensates, analyzing how different interactions and trap parameters influence stability and evolution.

Contribution

It provides a comprehensive classification and stability analysis of the dynamical regimes in two-component Bose gases under various interaction and trap conditions.

Findings

Identification of different dynamical regimes

Stability criteria for phase separation

Impact of trap strength on dynamics

Abstract

In the study of trapped two-component Bose gases, a widely used dynamical protocol is to start from the ground state of a one-component condensate and then switch half the atoms into another hyperfine state. The slightly different intra-component and inter-component interactions can then lead to highly nontrivial dynamics. We study and classify the possible subsequent dynamics, over a wide variety of parameters spanned by the trap strength and by the inter- to intra-component interaction ratio. A stability analysis suited to the trapped situation provides us with a framework to explain the various types of dynamics in different regimes.