Formation of exciton-polaritonic BEC in the non-Markovian regime
Dynamics of exciton-polaritonic Bose-Einstein condensate is considered. We construct the stochastic Gross-Pitaevskii equation, where condensate is coupled to the excitonic reservoir in the non-Markovian regime. This equation is utilized for study of condensate formation. It is found that increasing of temperature results in transition from spatially uniform to fragmented pattern with onset of numerous vortices. The transition temperature corresponds to minimum of condensate density. Below the transition temperature, density decreases with increasing of temperature due to noise-induced loss of phase coherence. Increasing of density above the transition temperature is caused by suppression of memory that facilitates nearly-exponential density growth consistent with the Markovian regime.