Efficient single-photon switch with an optomechanical cavity coupled to a one-dimensional waveguide

We analyze the single-photon optomechanical induced transparency (OMIT) phenomenon in the waveguide quantum electrodynamics structure consisting of an optomechanical cavity side coupled to a one-dimensional waveguide. A full quantum-mechanical method is used to calculate the single-photon scattering problem. We further provide a proposal to achieve single-photon switch utilizing the single-photon OMIT phenomenon. The influences of dissipations and pulse widths on the efficiency of the switch are also discussed. As a specific example, we show that our approach is experimentally feasible in currently available superconducting quantum circuits. (paper)