  we investigate the transmission of probe laser beam in a coupled-cavity
system with polaritons by using standard input-output relation of optical
fields, and proposed a theoretical schema for realizing a polariton-based
photonic transistor. On account of effects of exciton-photon coupling and
single-photon optomechanical coupling, a probe laser field can be either
amplified or attenuated by another pump laser field when it passes through a
coupled-cavity system with polaritons. The Stokes and anti-Stokes scattered
effect of output prober laser can also be modulated. Our results open up
exciting possibilities for designing photonic transistors.
