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

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