Exciton–polariton mediated nonlinear optics in a hybrid optomechanical system

Abstract

We investigate the nonlinear optics mediated by exciton–polariton in an optomechanical system, constituted of an optical cavity, a quantum well, and a mechanical oscillator. We show that quantum interference occurs only when the cavity photon is coupled either with the moving-end mirror (mechanical mode) of the cavity or with the exciton in a quantum well, or with both. We demonstrate that when the cavity mode is only coupled with the mechanical mode or an exciton, the quantum interference phenomenon produces a single electromagnetically induced transparency window, but when the cavity mode is coupled with both, two transparency windows are produced. Further, we report the existence of double Fano resonances, which become broader as the coupling parameters are increased. The enhancement of slow light is illustrated, and it is deduced that increasing the photon–exciton coupling strength can significantly slow down the transmission of probe light. Our proposed scheme has the potential to provide significant guiding in future polaritonic devices.