Microwave Frequency Graphene Optomechanics. Coherent Propagation Properties and Nonlinear Responses

Abstract

We demonstrate theoretically the slow and fast light effects based on the coupled graphene nanomechanical resonator–microwave cavity system. The numerical results show that the maximum group delay and advancing microwave signals can reach 0.4 and 0.12 ms, respectively, in the graphene resonator–microwave cavity system. In addition, the system can also behave as an optical transistor to amplify a weak microwave field through manipulating the pump field. Further we investigate the nonlinear effects of four-wave mixing (FWM) and show that the FWM intensity can be efficiently controlled and modulated by the pump power. The graphene optomechanics provides a good medium for controlling microwave photons at different frequencies and may indicate applications in quantum information processing.