The simultaneous ground-state cooling and quantum synchronization of two mechanical oscillators via backward Brillouin scattering

Abstract The simultaneous ground-state cooling and the quantum synchronization of multiple mechanical oscillators are very important in the study of the quantum coherence of the optomechanical system with multiple mechanical modes. In this paper, we propose a scheme for investigating the simultaneous ground-state cooling and the quantum synchronization of two mechanical oscillators based on an optomechanical system via backward stimulated Brillouin scattering. A photon-phonon interaction via the backward stimulated Brillouin scattering process is introduced in this scheme, which is beneficial for cooling the optomechanical system. It is found that simultaneous ground-state cooling and quantum synchronization of two mechanical oscillators can be achieved when a suitable photon-phonon coupling via the backward stimulated Brillouin scattering process is chosen. Quantum synchronization is enhanced with the help of the photon-phonon coupling via the backward stimulated Brillouin scattering process. In addition, the relation between simultaneous ground-state cooling and quantum synchronization is discussed. It turns out that the appearance of simultaneous ground-state cooling is accompanied by quantum synchronization, but simultaneous ground-state cooling may not be realized when quantum synchronization is achieved. Our scheme paves a new way for the control of the quantum properties of the mechanical oscillators based on optomechanical system.