Due to its unique properties of low mass density, high frequency, high quality-factor and intrinsically small size, graphene has received significant attention and is considered as an ideal material for fabricating nanomechanical systems. In this work, we demonstrate theoretically the coherent optical propagation under different detuning regimes in the graphene resonator-microwave cavity system. In the red detuning, optomechanically induced transparency induced the slow light effect is investigated and the maximum group delay can reach 0.4 ms. In the blue detuning, advancing microwave signal can reach 0.12 ms, and the parametric amplification process can behave as an optical transistor to amplify a weak microwave field via manipulating the pump field. Further, we research the nonlinear effects of four-wave mixing (FWM), and the FWM intensity can be efficiently controlled and modulated by the pump power, such as FWM spectrum can present the phenomenon of normal mode splitting with controlling the pump power. A straightforward optical means for determining the frequency of the resonator by the FWM spectrum is also presented. The graphene optomechanics may indicate applications in quantum information processing.

中文翻译：

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基于石墨烯光机电系统的光机电透明性和非线性响应

由于其低密度，高频率，高品质因数和本质上较小的尺寸的独特特性，石墨烯受到了广泛的关注，被认为是制造纳米机械系统的理想材料。在这项工作中，我们从理论上证明了石墨烯谐振器-微波腔系统在不同失谐状态下的相干光传播。在红色失谐中，研究了光机械诱导的透明性引起的慢光效应，最大群延迟可以达到0.4 ms。在蓝色失谐中，前进的微波信号可以达到0.12 ms，并且参数放大过程可以充当光学晶体管，通过操纵泵浦场来放大微弱的微波场。此外，我们研究了四波混频（FWM）的非线性效应，并且通过泵浦功率可以有效地控制和调制FWM强度，例如FWM频谱可以在控制泵浦功率时呈现正常模式分裂的现象。还介绍了一种通过FWM频谱确定谐振器频率的简单光学装置。石墨烯光力学可以指示在量子信息处理中的应用。