Coherent mechanical noise cancellation and cooperativity competition in optomechanical arrays

Studying the interplay between multiple coupled mechanical resonators is a promising new direction in field of optomechanics. Understanding dynamics interaction can lead to rich effects, such as enhanced coupling and multi-body physics. In particular, multi-resonator optomechanical systems allow for distinct dynamical effects due optical cavity coherently resonators. Here, we study response two SiN membranes single mode, find that induces time delay local cavity-transduced thermal noises experienced by This results an phase lag causes destructive interference, cancelling noise up 20 dB controllable fashion, matching our theoretical expectation. Based on effective membranes, further propose, derive measure collective effect, cooperativity competition dissipation, whereby linewidth one resonator depends efficiency (cooperativity) other resonator.