Can Macroscopic Objects Entanglement and Microscopic Objects Entanglement Be Entangled Simultaneously?

In this paper, we propose a simple method to simultaneously generate the entanglement between macroscopic objects (mechanical oscillators) and entanglement between microscopic objects (photons) based on a coupled cavity-optomechanical system. We show that when the cavity-optomechanical system works in the single-photon strong-coupling regime and in the deep quantum regime, the radiation pressure of a photon which is created by the atom-cavity interaction, can directly induce these joint entangled states. Thus, no measurement on this system is required. Numerical simulation shows that the fidelity of the prepared joint entangled states can reach 0.954.