Tuning the nonlinear dispersive coupling of nanomechanical string resonators

Abstract

We investigate nonlinear dispersive mode coupling between the flexural in- and 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 non-trivial way. We propose a theoretical model to describe the dependence of the dispersive coupling on the mode hybridization.

arXiv comment6 pages, 6 figures

References in corpus (8)

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Cited by in corpus (4)

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• Superconducting cavity piezo-electromechanics: the realization of an acoustic frequency comb at microwave frequencies
• Nonlinearity-induced symmetry breaking in a system of two parametrically driven Kerr-Duffing oscillators
• Resonant nonlinear response of a nanomechanical system with broken symmetry