All-optical transistor based on a cavity optomechanical system with a Bose-Einstein condensate

We propose a scheme of an all-optical transistor based on a coupled Bose-Einstein condensate cavity system. The calculated results show that, in such an optomechanical system, the transmission of the probe beam is strongly dependent on the optical pump power. Therefore, the optical pump field can serve as a "gate" field of the transistor, effectively controlling the propagation of the probe field (the "signal" field). The scheme proposed here may have potential applications in optical communication and quantum information processing.