Complex magnetic monopoles and geometric phases around diabolic and exceptional points

利用混合例外– diabolo 奇点增强量子传感

Enhanced quantum sensing with hybrid exceptional-diabolic singularities

该研究提出在四模玻色系统的 HED 奇点附近进行线性微扰检测，利用高阶奇异响应将估计误差标度提升两倍，并证明外差检测可达到量子 Fisher 信息给出的最优界限。

多重量子例外、魔鬼和混合点在多模玻色子系统中：II. 非常规PT对称动力学和单向耦合

Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: II. Nonconventional PT-symmetric dynamics and unidirectional coupling

研究了多模玻色子系统中非常规PT对称动力学和单向耦合下的量子例外、魔鬼和混合点特性及高阶退化现象。

动态环绕异常曲线的同时穿越恶魔点：一种可编程的对称-非对称多模开关

Dynamically crossing diabolic points while encircling exceptional curves: A programmable symmetric-asymmetric multimode switch

本文提出通过环绕异常曲线并穿越恶魔点，克服多模非厄米系统中绝热性破坏问题，实现可编程对称-非对称多模开关，并以四模PT对称玻色子系统为实验平台。

非厄米高阶外尔半金属中的表面双奇点

Non-Hermitian higher-Order Weyl semimetal with surface diabolic points

本研究提出非厄米高阶外尔半金属（NHHOWS），其表面具有双奇点，通过操控例外点实现狄拉克-卢廷格相切换，并用双正交技术恢复体-边界对应关系。

The MHD alpha^2-dynamo, Z_2-graded pseudo-Hermiticity, level crossings and exceptional points of branching type

The spectral branching behavior of the 2x2 operator matrix of the magneto-hydrodynamic alpha^2-dynamo is analyzed numerically. Some qualitative aspects of level crossings are briefly discussed with the help of a simple toy model which is based on a Z_2-graded-pseudo-Hermitian 2x2 matrix. The considered issues comprise: the underlying SU(1,1) symmetry and the Krein space structure of the system, exceptional points of branching type and diabolic points, as well as the algebraic and geometric multiplicity of corresponding degenerate eigenvalues.

Degeneracies in a nonintegrable pairing model

The evolution pattern of exceptional points is studied in a non-integrable limit of the complex-extended 3-level Richardson-Gaudin model. The appearance of a pseudo-diabolic point from the fusion of two exceptional points is demonstrated in the anti-hermitian limit of the model and studied in some details.

Repulsion of Resonance States and Exceptional Points

Level repulsion is associated with exceptional points which are square root singularities of the energies as functions of a (complex) interaction parameter. This is also valid for resonance state energies. Using this concept it is argued that level anti-crossing (crossing) must imply crossing (anti-crossing) of the corresponding widths of the resonance states. Further, itis shown that an encircling of an exceptional point induces a phase change of one wave function but not of the other. An experimental setup is discussed where this phase behaviour which differs from the one encountered at a di…

碎片化异常点及其在晶格模型中的体态和边缘实现

Fragmented exceptional points and their bulk and edge realizations in lattice models

研究通过非厄密特晶格模型实现了碎片化异常点的体态和边缘实现，提出了一种高效方法用于设计具有非传统响应特性的系统。

可调实现动力学受限系统中的平面波和例外点：非厄密特 Creutz 梯子的一个例子

Tunably realizing flat-bands and exceptional points in kinetically frustrated systems: An example on the non-Hermitian Creutz ladder

该研究通过非厄密特 Creutz 梯子探索动力学受限系统中的平面波和例外点，揭示了参数空间中丰富的结构和相图。

赝厄米矩阵中的简并性与对称性破缺

Degeneracies and symmetry breaking in pseudo-Hermitian matrices

本文通过分类赝厄米矩阵的本征空间，证明对称性破缺当且仅当相反类型本征值在实轴碰撞时发生，并据此刻画了参数空间中稳定相区域、例外曲面及赝厄米性破缺点的完整结构。

一种类超球面的非阿贝尔杨单极及其拓扑特征

A hypersphere-like non-Abelian Yang monopole and its topological characterization

本文研究了四维非厄米特系统中的例外点，发现了一个五维参数空间中类超球面的非阿贝尔杨单极结构，通过二阶陈数刻画其拓扑特性。

具有未配对例外点的辫子保护拓扑能带结构

Braid Protected Topological Band Structures with Unpaired Exceptional Points

本文证明非厄米系统中存在拓扑稳定的未配对例外点，通过复能级非对易辫子机制构造三能带模型，揭示非阿贝尔单极子及绕数拓扑分类的不完备性。

非厄米特例外拓扑在克莱因瓶光子电路中

Non-Hermitian Exceptional Topology on a Klein Bottle Photonic Circuit

该研究在非定向流形上实现了首个光子异常拓扑，通过可编程硅光子集成电路模拟非厄米特时间演化，揭示了克莱因瓶拓扑中的异常相位和费米弧特性。

辫状保护的不成对异常点观测

Observation of Braid-Protected Unpaired Exceptional Points

研究通过非厄密三带系统实现不成对的三阶异常点，揭示了非阿贝尔辫状拓扑和路径依赖的融合规则，利用单光子干涉仪实现了多带系统的本征态和光谱分辨。