We present a scheme for photonic transistors based on photons and phonons ina cavity electromechanical system, which is consisted of a superconductingmicrowave cavity coupled to a nanomechanical resonator. Control of thepropagation of photons is achieved through the interaction of microwave field(photons) and nanomechanical vibrations (phonons). By calculating thetransmission spectrum of the signal field, we show that the signal field can beefficiently attenuated or amplified, depending on the power of a second`gating'(pump) field. This scheme may be a promising candidate forsingle-photon transistors and pave the way for numerous applications intelecommunication and quantum information technologies.
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