Nonlinear coupling of phononic resonators induced by surface acoustic waves
Sarah Benchabane, Aymen Jallouli, Laetitia Raguin, Olivier Gaiffe,, Jules Chatellier, Val\'erie Soumann, Jean-Marc Cote, Roland Salut, and, Abdelkrim Khelif

TL;DR
This paper demonstrates how surface acoustic waves induce nonlinear interactions in coupled phononic resonators, enabling advanced control of their dynamics for high-frequency phononic circuits in classical and quantum tech.
Contribution
It reveals a new nonlinear coupling mechanism between surface acoustic waves and mechanical resonators, expanding the functionalities of phononic circuits.
Findings
Frequency softening of resonators due to SAW amplitude
Control of resonator motion including circular polarization
Nonlinear effects beyond geometrical Duffing models
Abstract
The rising need for hybrid physical platforms has triggered a renewed interest for the development of agile radio-frequency phononic circuits with complex functionalities. The combination of travelling waves with resonant mechanical elements appears as an appealing means of harnessing elastic vibration. In this work, we demonstrate that this combination can be further enriched by the occurrence of elastic non-linearities induced travelling surface acoustic waves (SAW) interacting with a pair of otherwise linear micron-scale mechanical resonators. Reducing the resonator gap distance and increasing the SAW amplitude results in a frequency softening of the resonator pair response that lies outside the usual picture of geometrical Duffing non-linearities. The dynamics of the SAW excitation scheme allows further control of the resonator motion, notably leading to circular polarization…
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