A Caltech Library Service

Phase Synchronization of Two Anharmonic Nanomechanical Oscillators

Matheny, Matthew H. and Grau, Matt and Villanueva, Luis G. and Karabalin, Rassul B. and Cross, M. C. and Roukes, Michael L. (2014) Phase Synchronization of Two Anharmonic Nanomechanical Oscillators. Physical Review Letters, 112 (1). Art. No. 014101. ISSN 0031-9007. doi:10.1103/PhysRevLett.112.014101.

PDF - Published Version
See Usage Policy.

PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


We investigate the synchronization of oscillators based on anharmonic nanoelectromechanical resonators. Our experimental implementation allows unprecedented observation and control of parameters governing the dynamics of synchronization. We find close quantitative agreement between experimental data and theory describing reactively coupled Duffing resonators with fully saturated feedback gain. In the synchronized state we demonstrate a significant reduction in the phase noise of the oscillators, which is key for sensor and clock applications. Our work establishes that oscillator networks constructed from nanomechanical resonators form an ideal laboratory to study synchronization— given their high-quality factors, small footprint, and ease of cointegration with modern electronic signal processing technologies.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Matheny, Matthew H.0000-0002-3488-1083
Roukes, Michael L.0000-0002-2916-6026
Additional Information:© 2014 American Physical Society. Received 6 May 2013; published 6 January 2014. We thank E. Kenig and X. L. Feng for discussions and P. Ivaldi, E. Defaÿ, and S. Hentz for providing us with the AlN/SOI material. M. C. Cross acknowledges financial support from the National Science Foundation Grants No. DMR-0314069 and No. DMR-1003337. L. G. V. acknowledges financial support from the European Commission (PIOF-GA-2008-220682).
Funding AgencyGrant Number
Marie Curie FellowshipPIOF-GA-2008-220682
Issue or Number:1
Record Number:CaltechAUTHORS:20140326-100653458
Persistent URL:
Official Citation:Matheny, M. H., Grau, M., Villanueva, L. G., Karabalin, R. B., Cross, M. C., & Roukes, M. L. (2014). Phase Synchronization of Two Anharmonic Nanomechanical Oscillators. Physical Review Letters, 112(1), 014101.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:44523
Deposited On:27 Mar 2014 01:07
Last Modified:10 Nov 2021 16:53

Repository Staff Only: item control page