Polariton Bose condensate in an open system: Ab initio approach

In the framework of path-integral formalism and Keldysh technique for a nonequilibrium system we explore the kinetics of the polariton condensate in a quantum well embedded in an optical microcavity. We take into account pumping and leakage of excitons and photons. We make an ab initio derivation of the equations governing the dynamics of the condensates and reservoirs and show that the real open polariton system has a non-Markovian character at times comparable to the Rabi oscillation period.