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Frequency stabilization and noise-induced spectral narrowing in resonators with zero dispersion

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Huang, L., Soskin, S. M., Khovanov, I. A., Mannella, R., Ninios, K. and Chan, H. B. (2019) Frequency stabilization and noise-induced spectral narrowing in resonators with zero dispersion. Nature Communications, 10 . 3930 . doi:10.1038/s41467-019-11946-8 ISSN 2041-1723.

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Official URL: http://dx.doi.org/10.1038/s41467-019-11946-8

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Abstract

Mechanical resonators are widely used as precision clocks and sensitive detectors that rely on the stability of their eigenfrequencies. The phase noise is determined by different factors including thermal noise, frequency noise of the resonator and noise in the feedback circuitry. Increasing the vibration amplitude can mitigate some of these effects but the improvements are limited by nonlinearities that are particularly strong for miniaturized micro- and nano-mechanical systems. Here we design a micromechanical resonator with non-monotonic dependence of the eigenfrequency on energy. Near the extremum, where the dispersion of the eigenfrequency is zero, the system regains certain characteristics of a linear resonator, albeit at large amplitudes. The spectral peak undergoes narrowing when the noise intensity is increased. With the resonator serving as the frequency-selecting element in a feedback loop, the phase noise at the extremum amplitude is ~3 times smaller than the minimal noise in the conventional nonlinear regime.

Item Type: Journal Article
Subjects: Q Science > QC Physics
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: Faculty of Science, Engineering and Medicine > Engineering > Engineering
Library of Congress Subject Headings (LCSH): Resonators , Electronic noise
Journal or Publication Title: Nature Communications
Publisher: Nature Publishing Group
ISSN: 2041-1723
Official Date: 2 September 2019
Dates:
DateEvent
2 September 2019Published
2 August 2019Accepted
Volume: 10
Article Number: 3930
DOI: 10.1038/s41467-019-11946-8
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access (Creative Commons)
Date of first compliant deposit: 3 September 2019
Date of first compliant Open Access: 11 September 2019
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
16303215Hong Kong (China)http://viaf.org/viaf/261062131
DMR- 0645448National Science Foundationhttp://dx.doi.org/10.13039/100000001
90418Volkswagen Foundationhttp://dx.doi.org/10.13039/501100001663

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