Tuning the nonlinear dispersive coupling of nanomechanical string resonators

Year: 2020

Authors: Gajo K., Rastelli G., Weig E.M.

Autors Affiliation: Univ Konstanz, Dept Phys, D-78457 Constance, Germany

Abstract: We investigate nonlinear dispersive mode coupling between the flexural in- A nd out-of-plane modes of two doubly clamped, nanomechanical silicon nitride string resonators. As the amplitude of one mode transitions from the linear response regime into the nonlinear regime, we find a frequency shift of two other modes. The resonators are strongly elastically coupled via a shared clamping point and can be tuned in and out of resonance dielectrically, giving rise to multimode avoided crossings. When the modes start hybridizing, their polarization changes. This affects the nonlinear dispersive coupling in a nontrivial way. We propose a theoretical model to describe the dependence of the dispersive coupling on the mode hybridization.


Volume: 101 (7)      Pages from: 075420  to:

More Information: Financial support from the Zukunftskolleg of the University of Konstanz, the Deutsche Forschungsgemeinschaft via the Collaborative Research Center SFB 767, and the European Unions Horizon 2020 programme for Research and Innovation under Grant Agreement No. 732894 (FET Proactive HOT), as well as the German Federal Ministry of Education and Research through Contract No. 13N14777 funded within the European QuantERA cofund project QuaSeRT is gratefully acknowledged.
KeyWords: nanomechanics, nonlinear systems, Kerr effect
DOI: 10.1103/PhysRevB.101.075420