Two-photon scattering in mixed cavity optomechanics

TL;DR

This paper analyzes two-photon scattering in a mixed cavity optomechanical system, revealing how system parameters influence photon correlations and spectra, and proposing methods for photon pair creation and system characterization.

Contribution

It provides an analytical solution for two-photon scattering in a mixed optomechanical system, linking spectral features to system parameters and suggesting applications in photon pair generation and system diagnostics.

Findings

Two-photon frequency anticorrelation can be induced.

Analytical scattering state derived within Wigner-Weisskopf framework.

System parameters influence the two-photon scattering spectrum.

Abstract

We study two-photon scattering in a mixed cavity optomechanical system, which is composed of a single-mode cavity field coupled to a single-mode mechanical oscillation via both the first-order and quadratic optomechanical interactions. By solving the scattering problem within the Wigner-Weisskopf framework, we obtain the analytical scattering state and find four physical processes associated with the two-photon scattering in this system. We calculate the two-photon scattering spectrum and find that two-photon frequency anticorrelation can be induced in the scattering process. We also establish the relationship between the parameters of the mixed cavity optomechanical system and the characteristics of the two-photon scattering spectrum. This work not only provides a scattering means to create correlated photon pairs, but also presents a spectrometric method to characterize the optomechanical systems.