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We study the dynamics of two-component atomic Bose gases initially in amixture encountering a sudden quench of the inter-species interactions. Thedynamics above the critical temperature $T_c$ is studied using a leading orderlarge-N approximation that predicted a phase transition from mixing to phaseseparation as a function of the inter-species coupling. Here we explore thedynamics of this phase transition following a quench and compare our results tothose found at zero temperature using the time-dependent Gross-Pitaevskiiequations which ignore quantum and thermal fluctuations. In the regime above$T_c$ where no condensate is present, however, the time evolution of thedensities following the quench exhibits features similar to that found at zerotemperature where only the condensates contribute to the densities. When theinter-species interaction jumps above the critical value, we observe dynamicaltransitions from a homogeneous mixture to a phase-separated structure for bothcases. Our simulations suggest that at temperatures above $T_c$ where nocondensate is present this dynamical transition should still be observable inexperiments.

Quench Dynamics and Emergence of Phase Separation in Two-Component Atomic Bose Gases at Zero Temperature and above the BEC Critical Temperature