Domino cooling of a coupled mechanical-resonator chain via cold-damping feedback

We propose a domino-cooling method to realize simultaneous ground-state cooling of coupled mechanical-resonator chain through an optomechanical cavity working in the unresolved-sideband regime. This domino-effect is realized by combining cold-damping feedback on first mechanical resonator with nearest-neighbor couplings between other neighboring resonators. obtain analytical results for effective susceptibilities, noise spectra, final mean phonon numbers, and rates these resonators, find optimal-cooling condition Particularly, we analyze two-mechanical-resonator case that appropriately engineering either laser power or feedback, flexible switch symmetric asymmetric can be achieved. could used preparing quantum states systems. also simulate performance $N$-mechanical-resonator confirm resonators simultaneously cooled their ground Under proper parameter conditions, shows temperature gradient along chain. study opens route manipulation multiple bad-cavity