Microwave-controlled optical double optomechanically induced transparency in a hybrid piezo-optomechanical cavity system

We propose a scheme that can generate a microwave-controlled optical double optomechanical induced transparency (OMIT) in a hybrid piezo-optomechanical cavity system in which a piezoelectric optomechanical crystal AlN-nanobeam resonator is placed in a superconducting coplanar microwave cavity. We show that when an intense microwave field is applied to the superconducting microwave cavity, with a strong pump optical field and a weak probe optical field applied to the optomechanical crystal cavity through the optical waveguide, a double transmission window can be obtained in the weak output probe field. This phenomenon arises because an $N$-type four-level system can be formed in our scheme, because under the effects of the radiation pressure and the piezoelectric interaction, the quantum interference between different energy-level pathways induces the occurrence of the double-OMIT. Our scheme can be applied in the fields of optical switches, high-resolution spectroscopy, coherent population trapping, and quantum information processing in solid-state quantum systems.