Controlled Four-Wave Mixing in a Nanotransducer

We study the dynamics of an electro-optical transducer in the presence of a driving field and a probe field. The nano-electro-optomechanical system (NEOMS) consists of a cavity with a fixed mirror, which is coupled to a vibrating end mirror through an optomechanical coupling, whereas the Coulomb interaction couples the moving mirror with the other moving mirror. In the probe transmission field, four-wave mixing (FWM) is reported in the presence of two external driving fields on moving mirrors. We show that the four-wave mixing exhibits controlled dynamics by varying the amplitudes and phases of the external driving fields. We present a set of experimental parameters to realize the phenomenon in present-day laboratory experiments.