Dynamic Manipulation of Single-Photon Transport along a Waveguide by Dipole-Coupled Two-Level Atoms in a Quadratic Optomechanical Cavity

Abstract

Single-photon transport along a one-dimensional waveguide side coupled to a quadratic optomechanical cavity embedded in two two-level atoms with dipole-dipole interaction (DDI) are explored theoretically. The transmission and reflection amplitudes are derived using a real-space approach. The effects of the optomechanical coupling strength, the DDI, atom-cavity detuning, and atomic dissipation on the single-photon transport properties are analyzed. In single-photon strong-coupling regime, vacuum Rabi-splitting and electromagnetically induced transparency (EIT)-like transmission spectra are observed. It is found that the DDI can shift the reflected resonant points, change the distance and the minima of the two vacuum Rabi-splitting dips, and modify the EIT-like spectra. Therefore, single-photon transport can be well controlled by such a hybrid atom-optomechanical system.