Multimode oscillation and its route to chaos in transverse-mode-coupled optomechanical resonators

Abstract

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.

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BibTeX RIS

BibTeX

@misc{asano2026multimode,
  title = {{Multimode oscillation and its route to chaos in transverse-mode-coupled optomechanical resonators}},
  author = {Motoki Asano and Lalit Maharjan and Hiroshi Yamaguchi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.34040},
  eprint = {2609.34040},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.34040},
}

RIS

TY  - UNPB
TI  - Multimode oscillation and its route to chaos in transverse-mode-coupled optomechanical resonators
AU  - Motoki Asano
AU  - Lalit Maharjan
AU  - Hiroshi Yamaguchi
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.34040
UR  - https://arxiv.org/abs/2609.34040
AB  - 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.
ER  -

Abstract

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