(Source Data) Coherent Energy Transfer in Coupled Nonlinear Microelectromechanical Resonators

This dataset provides the source data of the paper "Coherent Energy Transfer in Coupled Nonlinear Microelectromechanical Resonators". Energy decay, describing the leakage of system energy to the environmental bath, is a universal behavior in oscillators. It has been utilized to elucidate the energy transfer between vibrational modes of a single resonator. In coupled resonators, achieving an ultra-low coupling rate is essential for directly observing the interaction of energy between resonators and the environmental bath. In this study, we observe significant periodic transient beating phenomenon by analyzing the transient responses of a coupled nonlinear resonator system with a mechanical coupling rate of only 9.6 Hz. This ultra-low coupling rate reveals a hybrid energy manipulation arising from Duffing nonlinearity and vibration localization. The energy transfer rate is impacted by asymmetry-induced energy localization and enhanced by nonlinearity. Time-resolved eigenstates, characterized by amplitude ratios, are employed as a quantitative tool to uncover the energy transfer and localization in coupled resonators under nonlinear Duffing operations. This study opens new possibilities to manipulate energy transfer, to probe energy localization, and to develop high-precision sensors based on coupled micromechanical resonators.