Quantum transistor with a double-cavity optomechanical system

A scheme of quantum transistor in a double-cavity optomechanical system is proposed, where the input signal of the base port is a quantum or classical signal which are discussed, respectively. In the case of quantum input signal, to treat the nonlinear trimer interaction, we propose an iterative method when the trimer interaction is weak. When the input signal is classical, we can achieve beam splitter and parametric-down-conversion interaction between collector and emitter, respectively. We calculate the output power spectrum and analyze the relations between input of the base port and output of the emitter. Our results show that the input at the base controls the on-off between the collector and emitter, and the signal imposed from the base can be amplified. For two different cases, the system both can serve as a quantum transistor. Copyright (C) EPLA, 2018