The dynamics of exciton-polariton states in a semiconductor microcavity is studied under pumping of the state corresponding to the lower polariton branch, taking into account single-mode and intermode elastic polariton-polariton interactions. In this case, pumping is carried out by two laser pulses with close frequencies. It is shown that at the initial phase difference equal to θ_0=π⁄2, the regime of quantum self-trapping of exciton-polaritons is observed. Periodic and aperiodic modes of evolution of a system of quasiparticles are obtained.

We studied the dynamics of polaritons in a microcavity in the parametric oscillator mode, when the pump is carried out by two laser pulses with close frequencies. Analytical solutions of a system of nonlinear differential equations are found for equal damping constants

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