Coherent control of coupled microelectromechanical resonators within the framework of classical nonlinear dynamicsis of relevance in fundamental studies and the development of high-performance sensors. Coherent contro...Coherent control of coupled microelectromechanical resonators within the framework of classical nonlinear dynamicsis of relevance in fundamental studies and the development of high-performance sensors. Coherent control can beachieved through the parametric modulation of one of the two coupled resonators. However, microelectromechanicalresonators are commonly operated in the nonlinear regime, and a thorough description of key phenomena involvingparametric modulation of coupled resonators, such as sideband generation and mode splitting, remains limited in thisregime. We use a weakly coupled double-ended tuning fork (DETF) resonator under strong parametric modulation todemonstrate tunable energy transfer and mode interactions governed by classical analogs of well-establishedquantum phenomena. The method uses a red-sideband parametric signal to manipulate the coupling between twoadjacent modes dynamically. This approach is theoretically assessed thanks to a nonlinear reduced-order model thattakes into account the modal interactions and virtual coupling induced by the parametric modulation. Furthermore,the proof of concept of the proposed tuning mechanism is validated on a DC electric field sensor with enhancedsensitivity. The nonlinear parametrically driven sensor exhibits two orders of magnitude sensitivity boost whilemaintaining a broad measurement range. While our investigation focuses on coupled microresonator systemsmodeled within a classical framework, the observed dynamics and the simulation extend to the advancements ofother cognate fields, such as optomechanics and two-level systems.展开更多
基金supported by the National Natural Science Foundation of China under Grant 62031025in part by the National Key Research and Development Program of China under Grant 2024YFF1502300+2 种基金in part the Defense Industrial Technology Development Program of China under Grant JCKY2022110C013in part by China Scholarship Counciland in part by an EUR EIPHI Program,Europe,under Contract ANR 17-EURE-0002。
文摘Coherent control of coupled microelectromechanical resonators within the framework of classical nonlinear dynamicsis of relevance in fundamental studies and the development of high-performance sensors. Coherent control can beachieved through the parametric modulation of one of the two coupled resonators. However, microelectromechanicalresonators are commonly operated in the nonlinear regime, and a thorough description of key phenomena involvingparametric modulation of coupled resonators, such as sideband generation and mode splitting, remains limited in thisregime. We use a weakly coupled double-ended tuning fork (DETF) resonator under strong parametric modulation todemonstrate tunable energy transfer and mode interactions governed by classical analogs of well-establishedquantum phenomena. The method uses a red-sideband parametric signal to manipulate the coupling between twoadjacent modes dynamically. This approach is theoretically assessed thanks to a nonlinear reduced-order model thattakes into account the modal interactions and virtual coupling induced by the parametric modulation. Furthermore,the proof of concept of the proposed tuning mechanism is validated on a DC electric field sensor with enhancedsensitivity. The nonlinear parametrically driven sensor exhibits two orders of magnitude sensitivity boost whilemaintaining a broad measurement range. While our investigation focuses on coupled microresonator systemsmodeled within a classical framework, the observed dynamics and the simulation extend to the advancements ofother cognate fields, such as optomechanics and two-level systems.
