Enhancement of optomechanical cooling via synthetic magnetism and frequency modulation.

We propose a scheme to enhance optomechanical cooling via synthetic magnetism and frequency modulation (FM) in a three-mode loop-coupled optomechanical system. By introducing synthetic magnetism, the dark-mode effect can be broken, ensuring the simultaneous cooling of the two mechanical resonators. We find that the cooling of the two mechanical resonators is destroyed in the dark-mode-unbreaking (DMU) regime but can be achieved in the dark-mode-breaking (DMB) regime. Furthermore, FM can be used to suppress the Stokes heating process, significantly enhancing the cooling performance and greatly expanding the feasible parameter range. In particular, in the unresolved-sideband (USB) regime, ground-state cooling of the two mechanical resonators can be achieved via FM even in the unstable region. Finally, we also study ground-state cooling in a multi-mode optomechanical network by breaking the dark-mode effect. Our work paves the way for exploring macroscopic quantum manipulation in multiple systems.