发表机构
College of Physics, Hangzhou Dianzi University; State Key Laboratory of Quantum Optics Technologies and Devices, Shanxi University; Zhejiang Key Laboratory of Quantum State Control and Optical Field Manipulation, Hangzhou Dianzi University（杭州电子科技大学物理学院; 山西大学量子光学技术与器件国家重点实验室; 杭州电子科技大学浙江省量子态调控与光场操纵重点实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文数值研究周期性泵浦调制双耦合Kerr微环腔的长时间动力学，发现高失谐态因Kerr贡献超过损耗而出现正Lyapunov增长，并给出场分辨描述。
AI 中文摘要
我们数值研究了周期性泵浦调制的一对相干耦合Kerr微环谐振器的长时间腔内场动力学。在失谐扫描过程中，固定相位频闪轨迹从周期性规则状态转变为具有正最大Lyapunov增长的状态。在转变附近的长时间观测窗口中，有限时间估计收敛缓慢。低失谐和高失谐状态均保留多模Kerr梳状光谱，而其逐周期场组织的变化则强烈得多。时空强度、相邻周期轮廓和全场回归度量显示出一周期回归的丧失，同时伴随着谐振器间相位关系、相干交换和色散强度流的变化。我们将耦合方程在长时间场附近线性化，并检查无穷小扰动的增长。由此产生的切向能量平衡表明，损耗贡献在扫描过程中变化很小，而Kerr贡献增加，并在具有正Lyapunov增长的高失谐状态下超过损耗幅度。一个独立的维度对应关系将归一化工作范围与Si3N4微环联系起来。这些结果为长时间动力学变化及其相关扰动增长提供了场分辨的描述。
英文摘要
We numerically investigate the long-time intra-cavity-field dynamics of a periodically pump- modulated pair of coherently coupled Kerr micro-ring resonators. Along a detuning scanning, fixed-phase stroboscopic trajectories change from recurrent regular state to states with positive maximum-Lyapunov growth. Long observation windows near the transition, where finite-time estimates converge slowly. The low- and high-detuning states both retain multi-mode Kerr-comb spectra, while their cycle-to-cycle field organization changes much more strongly. Spatiotemporal intensities, adjacent-cycle profiles, and full-field recurrence measures show a loss of one-period recurrence together with changes in the inter-resonator phase relation, coherent exchange, and dispersive intensity flow. We linearize the coupled equations around the long-time field and examine the growth of an infinitesimal perturbation. The resulting tangent-energy balance shows that the loss contribution changes little along the scanning, whereas the Kerr contribution increases and exceeds the loss magnitude in the high-detuning states with positive Lyapunov growth. A separate dimensional correspondence relates the normalized working range to Si3N4 micro-ring. These results provide a field-resolved description of the long-time dynamical change and its associated perturbation growth.
Comments8pages, 9 fuigures
