Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators

Jiagui Wu, Shu-Wei Huang, Yongjun Huang, Hao Zhou, Jinghui Yang, Jia-Ming Liu, Mingbin Yu, Guoqiang Lo, Dim-Lee Kwong, Shukai Duan () and Chee Wei Wong ()
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Jiagui Wu: College of Electronic and Information Engineering, Southwest University
Shu-Wei Huang: Fang Lu Mesoscopic Optics and Quantum Electronics Laboratory, University of California
Yongjun Huang: Fang Lu Mesoscopic Optics and Quantum Electronics Laboratory, University of California
Hao Zhou: Fang Lu Mesoscopic Optics and Quantum Electronics Laboratory, University of California
Jinghui Yang: Fang Lu Mesoscopic Optics and Quantum Electronics Laboratory, University of California
Jia-Ming Liu: Electrical Engineering, University of California
Mingbin Yu: Institute of Microelectronics, A*STAR
Guoqiang Lo: Institute of Microelectronics, A*STAR
Dim-Lee Kwong: Institute of Microelectronics, A*STAR
Shukai Duan: College of Electronic and Information Engineering, Southwest University
Chee Wei Wong: Fang Lu Mesoscopic Optics and Quantum Electronics Laboratory, University of California

Nature Communications, 2017, vol. 8, issue 1, 1-7

Abstract: Abstract Chaos has revolutionized the field of nonlinear science and stimulated foundational studies from neural networks, extreme event statistics, to physics of electron transport. Recent studies in cavity optomechanics provide a new platform to uncover quintessential architectures of chaos generation and the underlying physics. Here, we report the generation of dynamical chaos in silicon-based monolithic optomechanical oscillators, enabled by the strong and coupled nonlinearities of two-photon absorption induced Drude electron–hole plasma. Deterministic chaotic oscillation is achieved, and statistical and entropic characterization quantifies the chaos complexity at 60 fJ intracavity energies. The correlation dimension D2 is determined at 1.67 for the chaotic attractor, along with a maximal Lyapunov exponent rate of about 2.94 times the fundamental optomechanical oscillation for fast adjacent trajectory divergence. Nonlinear dynamical maps demonstrate the subharmonics, bifurcations and stable regimes, along with distinct transitional routes into chaos. This provides a CMOS-compatible and scalable architecture for understanding complex dynamics on the mesoscopic scale.

Date: 2017
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DOI: 10.1038/ncomms15570

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