Dynamics of an optomechanical resonator containing a quantum well induced by periodic modulation of cavity field and external laser beam

We study in detail the dynamics of a nonstationary system composed of a quantum well confined in an optomechanical cavity. The cavity frequency is rapidly modulated in time. The resultant periodically modulated spectra are presented. In particular, we study the effect of a two-photon process on the number of intracavity photons. The intensity of fluorescent light emitted by excitons in the quantum well is also examined for this nonstationary system. It is observed that the initial stage of fluorescence spectrum helps in detecting the two-photon process. It is also noticed that under strong modulation, the two-photon process dominates, while under weak modulation, fluorescence dominates. We also analyzed the dynamics of the system induced by a periodic modulation of the external pump laser with constant cavity frequency. This modulation of external laser pump helps in phonon amplification.