  We consider a semiconductor quantum well in a microcavity driven by coherent
light and coupled to a squeezed vacuum reservoir. By systematically solving the
pertinent quantum Langevin equations in the strong coupling and low excitation
regimes, we study the effect of exciton-photon detuning, external coherent
light, and the squeezed vacuum reservoir on vacuum Rabi splitting and on
quantum statistical properties of the light emitted by the quantum well. We
show that the exciton-photon detuning leads to a shift in polariton resonance
frequencies and a decrease in fluorescence intensity. We also show that the
fluorescent light exhibits quadrature squeezing which predominately depends on
the exciton-photon detuning and the degree of the squeezing of the input field.
