Controlling the entanglement of mechanical oscillators in composite optomechanical system**Project supported by the National Natural Science Foundation of China (Grant Nos. 11704026 and 11461016), the Fund from Guizhou University of Finance and Economics, China (Grant No. 2017XZD01), and the Guizhou Youth Science and Technology Talent Development Project (Grant Nos. [2016] 170 and [2017] 150).

Abstract

A controllable entanglement scheme of two mechanical oscillators is proposed in a composite optomechanical system. In the case of strong driving and high dissipation, the dynamics of the movable mirror of the optomechanical cavity is characterized by an effective frequency in the long-time evolution of the system. Considering the classical nonlinear effects in an optomechanical system, we investigate the relationship between the effective frequency of the movable mirror and the adjustable parameters of the cavity. It shows that the effective frequency of the movable mirror can be adjusted ranging from ωm (the resonance frequency of the coupling oscillator) to −ωm. Under the condition of experimental realization, we can generate and control steady-state entanglement between two oscillators by adjusting the effective frequency of the movable mirror and reducing the effective dissipation by selecting the parameter of the cavity driving laser appropriately. Our scheme provides a promising platform to control the steady-state behavior of solid-state qubits using classical manipulation, which is significant for quantum information processing and fundamental research.