Tuning the nonlinear dispersive coupling of nanomechanical string resonators

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Physical Review B. American Physical Society (APS). 2020, 101(7), 075420. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.101.075420
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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.

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ISO 690GAJO, Katrin, Gianluca RASTELLI, Eva M. WEIG, 2020. Tuning the nonlinear dispersive coupling of nanomechanical string resonators. In: Physical Review B. American Physical Society (APS). 2020, 101(7), 075420. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.101.075420
BibTex
@article{Gajo2020Tunin-48540,
  year={2020},
  doi={10.1103/PhysRevB.101.075420},
  title={Tuning the nonlinear dispersive coupling of nanomechanical string resonators},
  number={7},
  volume={101},
  issn={2469-9950},
  journal={Physical Review B},
  author={Gajo, Katrin and Rastelli, Gianluca and Weig, Eva M.},
  note={Article Number: 075420}
}
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    <dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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