Strongly driven cavity quantum electrodynamical-optomechanical hybrid system

Hybrid quantum systems harness the advantages of different physical platforms, yet their integration is not always trivial due to potential incompatibilities in operational principles. In this work, we propose and numerically demonstrate a scheme for generating non-Gaussian mechanical states using a strongly driven hybrid system that combines cavity quantum electrodynamics (QED) and cavity optomechanics. To understand the complex behavior of the cavity QED system in the high photon number, we develop an efficient simulation framework to model cavity QED dynamics in the high-photon-number regime with reduced computational overhead. The simulation results are well explained by a comprehensive theoretical model based on perturbation theory in the displaced cavity frame. We demonstrate that by performing a large cavity drive with a well-configured frequency, the prepared cavity non-Gaussian state can be transferred to the mechanical mode with high fidelity. These results reveal new dynamical features of driven cavity QED and open a pathway toward realizing non-Gaussian mechanical quantum memories and sensors.