On the effect of linear feedback and parametric pumping on a resonator's frequency stability
Abstract
Resonant sensors based on micro- and nano-electro mechanical systems (M/NEMS) are ubiquitous in many sensing applications due to their outstanding performance capabilities, which are directly proportional to the quality factor (Q) of the devices. We address here a recurrent question in the field: do dynamical techniques that modify the effectiveQ(namely parametric pumping and direct drive velocity feedback) affect the performance of said sensors? We develop analytical models of both cases, while remaining in the linear regime, and introduce noise in the system from two separate sources: thermomechanical and amplifier (read-out) noise. We observe that parametric pumping enhances the quality factor in the amplitude response, but worsens it in the phase response on the resonator. In the case of feedback, we find thatQis enhanced in both cases. Then, we establish a solution for the noisy problem with direct drive and parametric pumping simultaneously. We also find that, in the case when thermomechanical noise dominates, no benefit can be obtained from either artificialQ-enhancement technique. However, in the case when amplifier noise dominates, we surprisingly observe that a significant advantage can only be achieved using parametric pumping in the squeezing region. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000446213Publication status
publishedExternal links
Journal / series
New Journal of PhysicsVolume
Pages / Article No.
Publisher
IoP PublishingSubject
resonant sensors; Mems; NEMS; feedback Q control; parametric pumpingOrganisational unit
03571 - Sigrist, Manfred / Sigrist, Manfred
09594 - Zilberberg, Oded (ehemalig) / Zilberberg, Oded (former)
Funding
163818 - Electronic and photonic quantum engineered systems (SNF)
177198 - Zeptonewton force sensing on a membrane resonator platform (SNF)
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