Multimode optomechanical cooling via general dark-mode control

The dark-mode effect is a stubborn obstacle for ground-state cooling of multiple degenerate mechanical modes optomechanically coupled to common cavity-field mode. Here we propose an auxiliary-cavity-mode method simultaneous two or near-degenerate by breaking the dark We find that introduction auxiliary cavity mode not only breaks effect, but also provides new channel extract thermal excitations stored in Moreover, study general physical-coupling configurations generalized network-coupled four-mode optomechanical system consisting and modes. analytical dark-mode-breaking condition this system. This it can be break realize multiple-mechanical-mode demonstrate physical mechanism behind studying dark-state $N\text{\ensuremath{-}}\mathrm{type}$ four-level atomic Our results provide control various effects physics, present opportunity macroscopic quantum phenomena applications multiple-mechanical-resonator systems.