  We investigate the optical response of a hybrid electro-optomechanical system
interacting with a qubit. In our experimentally feasible system, tunable
all-optical-switching, double-optomechanically induced transparency (OMIT) and
optomechanically induced absorption (OMIA) can be realized. The proposed system
is also shown to generate anomalous dispersion. Based on our theoretical
results, we provide a tunable switch between OMIT and OMIA of the probe field
by manipulating the relevant system parameters. Also, the normal-mode-splitting
(NMS) effect induced by the interactions between the subsystems are discussed
in detail and the effects of varying the interactions on the NMS are clarified.
These rich optical properties of the probe field may provide a promising
platform for controllable all-optical-switch and various other quantum photonic
devices.
