Exciton–polariton parametric oscillator dynamics in the semiconductor microcavity

Abstract

The dynamics of an exciton–polariton parametric oscillator has been investigated. A system of nonlinear differential equations has been obtained for describing the time evolution of the densities of pump and signal polaritons. It has been demonstrated that, depending on the system parameters, the time evolution of the density of polaritons can occur in the periodic and aperiodic regimes, as well as at rest. The possibility of exercising phase control of the time evolution of the system has been proved.