连续谱中束缚态的动力学与临界性的全局框架
Global Framework for Dynamics and Criticality of Bound States in the Continuum
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中文总结 AI 辅助
本文提出一个全局对称等变理论，将连续谱中束缚态（BICs）的动力学分类为α、β、γ过程，并通过“合并的合并”揭示临界性联系，预测并实现了高阶BICs（Q~k^-10非简并，Q~k^-8简并），为系统理解和控制BIC动力学及高Q态提供了统一框架。
中文摘要 AI 辅助
连续谱中的束缚态（BICs）展现出丰富的动量空间动力学，包括在对称方向和能带间的合并、湮灭和重连。然而，这些现象在很大程度上是逐案解释的，缺乏统一的框架来分类或预测它们。在此，我们为非简并和简并BICs的动力学发展了一个全局的对称等变理论。我们表明，根据根运动，BIC动力学可以分为α、β和γ过程，这不仅涵盖了在C2v、C4v和C6v系统中已报道的动力学，还包括先前未被识别的动力学。更重要的是，我们揭示了不同的动力学通过BICs的临界性以“合并的合并”方式相连，其中选定的方向-能带分支获得更高阶的辐射零点。这样的理论预测了哪些分支变得临界以及如何调整系统参数来实现它们。遵循这一框架，我们在全波计算中构建了高阶BICs，实现了Q~k^-10的非简并临界性和Q~k^-8的单分支和能带配对简并临界性。我们的框架为理解、发现和选择性控制BIC动力学和高Q态提供了一条系统化的途径。
英文摘要
Bound states in the continuum (BICs) exhibit rich momentum-space dynamics, including merging, annihilation, and reconnection across symmetry directions and bands. Yet these phenomena have largely been explained case by case, without a unified framework to classify or predict them. Here we develop a global symmetry-equivariant theory for the dynamics of nondegenerate and degenerate BICs. We show that BIC dynamics can be classified into $α$-, $β$-, and $γ$-processes according to root motion, which not only encompass the reported dynamics in $C_{2v}$, $C_{4v}$, and $C_{6v}$ systems but also include previously unrecognized ones. More importantly, we reveal that distinct dynamics are bridged by the criticality of BICs through a \emph{merging of merging}, in which selected direction--band branches acquire higher-order radiation zeros. Such a theory predicts which branches become critical and how to tune system parameters to realize them. Following this framework, we construct high-order BICs in full-wave calculations, realizing $Q\sim k^{-10}$ nondegenerate criticality and $Q\sim k^{-8}$ single-branch and band-paired degenerate criticalities. Our framework provides a systematic route to understanding, discovering, and selectively controlling BIC dynamics and high-$Q$ states.
发表机构
- College of Physics, Sichuan University（四川大学物理学院）
- State Key Laboratory of Precision Spectroscopy, School of Physics, East China Normal University（华东师范大学物理学院精密光谱学国家重点实验室）
机构由 AI 辅助整理，请以论文原文为准。
