横模耦合光机谐振器中的多模振荡及其通往混沌的路径

中文摘要 AI 辅助

非线性振荡器展现出丰富的集体现象，包括同步、分岔和混沌。然而，实验上访问多模非线性动力学仍然具有挑战性，因为低阶内共振容易诱发模式锁定并抑制稳定的多模振荡。在此，我们展示了一个横模耦合的光机平台，该平台将工程化的集体机械模式与光可控的非线性相互作用相结合。工程化的横模能够实现稳定的双模和三模自持振荡，同时抑制平凡的低阶内共振。通过改变激光频率，我们观察到连续的拍频分数化（Δf/2 和 Δf/3），随后出现一个宽带状态，其轨迹发散增强，与确定性混沌一致。这些结果确立了横模耦合光机谐振器作为可扩展且可调谐的平台，用于探索相互作用机械网络中的高维非线性动力学。

英文摘要

Nonlinear oscillators exhibit rich collective phenomena including synchronization, bifurcation, and chaos. Experimentally accessing multimode nonlinear dynamics, however, remains challenging because low-order internal resonances readily induce mode locking and suppress stable multimode oscillation. Here, we demonstrate a transverse-mode-coupled optomechanical platform that combines engineered collective mechanical modes with optically controllable nonlinear interactions. The engineered transverse mechanical modes enable stable two- and three-mode self-sustained oscillations while suppressing trivial low-order internal resonances. By varying the laser frequency, we observe successive beat-frequency fractionalization (Δf/2 and Δf/3), followed by a broadband state exhibiting enhanced trajectory divergence consistent with deterministic chaos. These results establish transverse-mode-coupled optomechanical resonators as a scalable and tunable platform for exploring high-dimensional nonlinear dynamics in interacting mechanical networks.

发表机构

• Basic Research Laboratories, NTT, Inc.（NTT公司基础研究实验室）

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