Dynamics of Nonlinear Optical Parametric Exciton-Polariton Oscillator in Semiconductor Microcavity

The dynamics of optical parametric exciton-polariton oscillations in semiconductor microcavities was studied taking into account the conversion processes of the two pump polaritons into signal and idler polaritons and vice versa. The system of nonlinear evolution equations was obtained for describing the time evolution of densities of pump, signal and idler polaritons. The periodic and aperiodic regimes of the polariton densities evolution exist. The period and amplitude of oscillations of the polariton densities essentially depend on the initial densities of polaritons, initial phase difference and resonance detuning. For the definite relation between the parameters it is possible the aperiodic evolution of the system too, which represents the conversion only the part of pump polaritons, by which the evolution of the system is finished. The significant dependence of the period and amplitude of polariton oscillations on the initial phase difference evidences about the possibility of the phase controlling of the polariton dynamics. The damping of the system of coherent polaritons leads to the oscillatory decay of polariton density in time, the rate of which is defined by the polariton damping constants.