Strong 4-mode coupling of nanomechanical string resonators

Abstract

We investigate mechanical mode coupling between the four fundamental flexural modes of two doubly-clamped, high-Q silicon-nitride nanomechanical string resonators. Strong mechanical coupling between the strings is induced by the strain mediated via a shared clamping point, engineered to increase the exchange of oscillatory energy. One of the resonators is controlled dielectrically, which results in strong coupling between its out-of-plane and in-plane flexural modes. We show both, inter-string out-of-plane-in-plane and 3-mode resonance of the four coupled fundamental vibrational modes of a resonator pair, giving rise to a simple and a multimode avoided crossing, respectively.

arXiv comment5 pages, 4 figures

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• Bichromatic synchronized chaos in coupled optomechanical nanoresonators
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• Method of Higher-Order Operators for Quantum Optomechanics
• Realization of programmable nanomechanical lattice with both nearest-neighboring and next-nearest-neighboring couplings