Controllable photon-phonon conversion via the topologically protected edge channel in an optomechanical lattice

Abstract

We propose a scheme to achieve the periodically modulated Su-Schrieffer-Heeger model based on a one-dimensional optomechanical lattice. We show the energy-eigenvalue spectrum and the winding number to demonstrate two topologically distinct phases of the Su-Schrieffer-Heeger model. Specifically, we realize the photon-phonon conversion process via the topologically protected edge channel with a controllable conversion efficiency. By calculating the fidelities of the photon-phonon conversion, we find that our system is more robust against the on-site defect potential throughout the overall lattice sites than the edge lattice sites. Interestingly, the large defect added into the edge sites can induce additional quantum channels to achieve the photon-photon transfer and the phonon-phonon transfer. Our scheme opens an alternative avenue to investigate the topological phases and the quantum state transfer in optomechanical lattice systems.