硅光机械振荡器中Drude电子-空穴等离子体介导的介观混沌
Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators
摘要：
混沌已经彻底改变了非线性科学领域，并刺激了从神经网络、极端事件统计到电子输运物理学的基础研究。最近的研究在腔光学力学提供了一个新的平台，揭示混沌产生和底层物理的典型架构。在这里，我们报告的动力学混沌的硅基单片光机械振荡器的产生，使强耦合的非线性双光子吸收诱导的德鲁德电子空穴等离子体。确定性的混沌振荡实现，和统计和熵表征量化的混沌复杂性在60 fJ的腔内能量。确定混沌吸引子的关联维D2为1.67，最大李雅普诺夫指数率约为2.94，是快速相邻轨迹发散的基本光机振荡。非线性动力学地图展示了次谐波，分叉，稳定的制度，随着不同的过渡路线到混乱。这为理解中观尺度上的复杂动态提供了一个CMOS兼容和可扩展的体系结构。
英文摘要：
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 maximal Lyapunov exponent rate about 2.94 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.
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