Generation of phononic high-order sidebands via intra- and inter-mode couplings in interconnected electromechanical resonators

• Published in: Results in physics Vol. 42; p. 105952
• Main Authors: Liu, Shaopeng, Cheng, Renxiang, Qi, Zhipeng, Li, Ying, Liu, Bo, Yang, Wen-Xing
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.11.2022; Elsevier
• Subjects: Intra- and inter-mode couplings; Nonlinear responses; Phonon-cavity electromechanics; Phononic high-order sidebands; Intra- and inter-mode couplings; Nonlinear responses; Phononic high-order sidebands; Phonon-cavity electromechanics
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2022.105952

To efficiently manipulate parametric mode mixing is an intriguing physical issue for phonon-cavity electromechanics, which is also crucial for various technological applications ranging from frequency synthesis to nonlinear spectroscopy. Here, we theoretically investigate the dependence of phononic high-order sidebands on intra- and inter-mode couplings in two interconnected electromechanical resonators. When the system operates in a strong inter-mode coupling regime, we report that two inter-mode phonon-scattering pathways allow us to selectively obtain either odd- or even-order sidebands at different output ports. The signal intensities of the separated sidebands can be independently modulated by introducing harmonic actuation forces acting on the interconnected resonators. Once the intra-mode coupling becomes totally dominant, the direct transition between intra-mode phonons only triggers the emergence of full-order sidebands in the nonlinear responses. In this case, increasing the quality factor of the resonators is beneficial for amplifying a few low order sidebands nearby the principal modes of the resonators but sacrificing the order of the sidebands. •Coupled frequency-mismatched electromechanical resonators can induce difference frequency mixing and phononic high-order sidebands.•Selective inter-mode phonon-scattering between resonators enables odd- and even-order sideband separation.•Increasing the quality factor of the resonators is conducive to amplifying a few low order sidebands nearby the principal modes of the resonators.