AI 中文总结
该研究在非线性光子时空晶体中，通过能量-动量隙与克尔自陷效应，产生并操控出具有可控内部自由度的多极与涡旋事件，为非线性介质的波操控提供了新途径。
AI 中文摘要
通常，事件被视为时空中的零维坐标标记，而非具有空间延展、内部结构或拓扑的客体。本文表明，在非线性光子时空晶体中，完整的能量-动量隙（ωk隙）会抑制延展辐射通道，而克尔自陷效应将光学现象局域在物理(x,t)平面。施加与放松对称性约束后，可得到具有不同内部结构的多极与涡旋事件。这些态的时空作用建立了结构成本的层级，Bogoliubov-de Gennes谱将相位缠绕涡旋与实值多极区分开，初值重构结合有限制备窗口提供了独立的鲁棒性验证。利用典型光学参数，我们预测这些结构化事件的横向尺度为30-60μm，持续时间为85-170fs。这些结果表明，事件不仅可作为点标记，还可作为具有可控内部自由度的局域波客体，为随时间变化的非线性介质中的波操控提供了途径。
英文摘要
An event is usually regarded as a zero-dimensional coordinate label in spacetime, rather than as an object with spatial extent, internal structure or topology. Here we show that in nonlinear photonic spacetime crystals, a complete energy-momentum gap ($ωk$-gap) suppresses extended radiation channels, while Kerr self-trapping localizes an optical occurrence in the physical $(x,t)$ plane. Imposing and relaxing symmetry constraints then yields multipole and vortex events with distinct internal structure. Their spacetime action of these states establishes a hierarchy of structural cost, Bogoliubov-de Gennes spectra distinguish phase-winding vortices from real-valued multipoles, and initial-value reconstructions provide an independent robustness check together with a finite preparation window. Using representative optical parameters, we predict that these structured events span transverse scales of 30-60 $μ$m and temporal duration of 85-170 fs. These results suggest that an event can be treated not only as a point label, but also as a localized wave object with controllable internal degrees of freedom, offering a route to wave control in time-varying nonlinear media.
Comments22 pages, 4 figures
