Abstract
Studying the interplay between multiple coupled mechanical resonators is a promising new direction in the field of optomechanics. Understanding the dynamics of the interaction can lead to rich new effects, such as enhanced coupling and multi-body physics. In particular, multi-resonator optomechanical systems allow for distinct dynamical effects due to the optical cavity coherently coupling mechanical resonators. Here, we study the mechanical response of two SiN membranes and a single optical mode, and find that the cavity induces a time delay between the local and cavity-transduced thermal noises experienced by the resonators. This results in an optomechanical phase lag that causes destructive interference, cancelling the mechanical thermal noise by up to 20 dB in a controllable fashion and matching our theoretical expectation. Based on the effective coupling between membranes, we further propose, derive, and measure a collective effect, cooperativity competition on mechanical dissipation, whereby the linewidth of one resonator depends on the coupling efficiency (cooperativity) of the other resonator.
Highlights
Cavity optomechanics [1] addresses the interaction between electromagnetic fields and mechanical motion
We study two mechanical resonators coherently coupled to a common cavity mode, that couples the thermal mechanical noise of the two resonators in an effective mechanical beam-splitter interaction [22, 24] that can be used to swap the mechanical states [9, 25] or topologically transfer energy between them [11]
We motivate the introduction of the optomechanical phase lag, and show that it leads to interference in the dynamics of the two mechanical resonators
Summary
Cavity optomechanics [1] addresses the interaction between electromagnetic fields and mechanical motion. By operating in the side-band unresolved regime, the optomechanically scattered photons that mediate this effective mechanical beamsplitter interaction can remain coherent in the cavity, which adds a stochastic time delay to this process. This results in a time delay in the effective (local and transduced) noise experienced by each resonator, which causes destructive interference when the mechanical resonator spectra overlap. We further propose and derive another new collective effect, resulting in a cooperativity competition of the mechanical dissipation, which we observe in our measurements This competition arises between the dissipation dynamics of two mechanical resonators coupled to the same optical field and leads to a linewidth broadening of one resonator that depends on the optomechanical cooperativity of the other resonator
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