Efficient tunable switch from slow light to fast light in quantum opto-electromechanical system

The control of slow and fast light propagation, in the probe transmission in a single experiment, is a challenging task. This type of control can only be achieved through highly nonlinear interactions and additional interfering pathway(s), which is therefore seldom reported. Here, we devise a scheme in which slow light, and a tunable switch from slow light to fast light can be achieved in the probe transmission based on a hybrid setup, which is composed of an optical cavity with two charged nano mechanical resonators (MRs). The two MRs are electrostatically coupled via tunable Coulomb coupling strength ($g_{c}$) making a quantum opto-electromechanical system (QOEMS). The parameter $g_{c}$ that couples the two MRs can be switched on and off by controlling the bias voltages on the MRs, and acts as a tunable switch that allows the propagation of transmitted probe field as slow light ($g_{c} \neq 0$) or fast light ($g_{c} = 0$). In our scheme, the magnitude of delay and pulse advancement can be controlled by tuning the Coulomb interaction and power of the pump field. Furthermore, we show that slow light regime in our model is astonishingly robust to the cavity decay rate. In comparison with previous schemes, our scheme has clear advantages that empowers the state-of-the-art photonic industry as well as reflects the strength of emerging hybrid technologies.