Noise Suppression for Micromechanical Resonator via Intrinsic Dynamic Feedback

TL;DR

This paper introduces a passive, intrinsic dynamic feedback mechanism using coupled resonators to suppress thermal noise in micromechanical resonators, leveraging non-Markovian dynamics for improved noise reduction.

Contribution

It demonstrates a novel noise suppression method based on intrinsic non-Markovian feedback between coupled resonators, distinct from traditional active control techniques.

Findings

Noise suppression observed in displacement spectrum

Mechanism relies on cyclic influence of coupled resonators

Effective in reducing thermal noise without affecting momentum spectrum

Abstract

We study a dynamic mechanism to passively suppress the thermal noise of a micromechanical resonator through an intrinsic self-feedback that is genuinely non-Markovian. We use two coupled resonators, one as the target resonator and the other as an ancillary resonator, to illustrate the mechanism and its noise reduction effect. The intrinsic feedback is realized through the dynamics of coupling between the two resonators: the motions of the target resonator and the ancillary resonator mutually influence each other in a cyclic fashion. Specifically, the states that the target resonator has attained earlier will affect the state it attains later due to the presence of the ancillary resonator. We show that the feedback mechanism will bring forth the effect of noise suppression in the spectrum of displacement, but not in the spectrum of momentum.