  We study in detail the dynamics of a non-stationary system composed of a
Quantum Well confined in an optomechanical cavity. This system is investigated
with classical and quantized motion of the cavity movable mirror. In both the
cases, the cavity frequency is rapidly modulated in time. The resultant
periodically modulated spectra is presented. In particular, we study the effect
of 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
these non-stationary systems. 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, 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.
