The reported work describes different regimes of exciton-polariton oscillatory dynamics in a microcavity, in the conservative case as well as in the presence of continuous-wave pumping from the high-energy excitonic reservoir. Accounting for exciton-photon energy detuning, linear and non-linear decay, gain, and interactions, we discuss the influence of different ingredients of the system on the dynamics in conservative and non-conservative cases, and show the existence of non-trivial regimes reminiscent of internal Josephson effect, van der Pol oscillations, and the inverted Kapitza pendulum. Conditions of experimental observation of the predicted effects are considered.
The properties of traps for exciton polaritons in a semiconductor optical microcavity with an embedded quantum well were considered. The two-component Bose condensate of photons and excitons was described by a coupled system of equations similar to the Gross-Pitaevskii equations, and analytical solutions in the Thomas-Fermi approximation were obtained for traps with weak exciton confinement. For strong confinement, condensate behavior was investigated numerically, and spatial profiles of coupled condensates of excitons and photons (which appear to be different in general case) were determined.