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We study the optical response of double optomechanical cavity system assistedby Rydberg atomic ensembles. And atomic ensembles are only coupled with oneside cavity by a single cavity mode. It has been realized that a long-rangemanipulation for optical properties of hybrid system, by controlling theRydberg atomic ensembles decoupled with the optomechanical cavity. Switching onthe coupling between atoms and cavity mode, the original time reversal symmetryof double cavity structure has been broken. Based on the controlled opticalnon-reciprocity, we put forward the theoretical schemes of all-opticalcontrolled diode, rectifier and transistor.

All-optical transistor based on Rydberg atom-assisted opto-mechanical system