发表机构
Indian Institute of Science Education and Research Berhampur（印度科学教育研究所布兰普尔分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出含高阶非互易跳跃等的推广Hatano-Nelson模型，演示EP介导的Hopf链辫拓扑相变，其嵌套复能结构可扩展拓扑景观，或为容错通信及量子计算提供新应用。
AI 中文摘要
非厄米物理赋予非阿贝尔系统以非交换辫模式为特征的奇异拓扑。不同非厄米性竞争源的相互作用可诱导新奇异拓扑效应。本文提出一种推广的Hatano-Nelson模型，该模型具有高阶非互易跳跃、非阿贝尔规范场和交错增益损耗过程，呈现经奇异点（EP）介导拓扑相变的Hopf链辫奇异拓扑结构。我们证明，混合多个非互易通道可驱动系统形成高度复杂的嵌套复能Hopf链辫，并将拓扑景观扩展至高阶辫扇区。此外，利用双正交本征向量追踪，我们在相位角参数平面中通过最大Petermann因子绘制奇异相边界的结构演化。研究表明，增益损耗非厄米性驱动拓扑交叉，其中延展的奇异轮廓收缩为孤立区域。对Hopf链辫的EP介导拓扑相变及相关丰富奇异相图的演示，可为鲁棒容错通信通道和量子计算平台提供新的物理见解与应用前景。
英文摘要
Non-Hermitian physics endows the non-Abelian systems with exceptional topology characterized by non-commutative braid patterns. Interplay of distinct competing sources of non-Hermiticity may induce novel topological effects. Here, we provide a generalized Hatano-Nelson model with higher-order nonreciprocal hoppings, non-Abelian gauge fields, and staggered gain-loss processes showing the exceptional topological structure of the Hopf-link braids that undergoes a EP-mediated topological phase transition. We demonstrate that mixing multiple nonreciprocal channels drives the system into highly intricate, nested complex energy Hopf-link braids and expands the topological landscape up to higher-order braiding sectors. Furthermore, utilizing biorthogonal eigenvector tracking, we map the structural evolution of the exceptional phase boundaries via the maximum Petermann factor in the phase angle parameter planes. We show that the gain-loss non-Hermiticity drives a topological crossover where the extended exceptional contours constrict into isolated regimes. The demonstration of EP-mediated topological phase transition of Hopf-link braids and the associated rich exceptional phase portraits may offer new physical insights with promising applications in robust, fault-tolerant communication channels and quantum computing platforms.
Comments7 Pages, 3 Figures
