Enhanced entanglement and synchronization in a coupled optomechanical system using a coherent feedback loop

We propose a scheme to enhance quantum entanglement and synchronization in a coupled optomechanical system through a coherent feedback loop. The results reveal that choosing proper coherent feedback parameters can significantly improve both entanglement and synchronization between mechanical modes. Furthermore, strong Coulomb coupling between mechanical modes plays a crucial role in further enhancing both quantum entanglement and synchronization. However, increasing the phase shift leads to a degradation of both entanglement and synchronization. Moreover, we also observed that the increasing temperature rapidly diminishes entanglement and synchronization due to decoherence effects. We believe that the proposed scheme offers a highly promising pathway for enhancing entanglement and synchronization, with significant potential for applications in quantum information processing.