线隙非厄米系统的频谱定位器

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-03-16 DOI:10.1063/5.0150995

A. Cerjan, L. Koekenbier, H. Schulz-Baldes

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引用次数: 4

摘要

短距离和行间隙的非厄米哈密顿具有由相关Fredholm算子的索引给出的强拓扑不变量。它展示了如何通过一个合适的谱定位器的签名来访问这些不变量。本文以拓扑光子系统(如拓扑激光器)的设计为例进行了数值计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Spectral localizer for line-gapped non-Hermitian systems

Short-ranged and line-gapped non-Hermitian Hamiltonians have strong topological invariants given by an index of an associated Fredholm operator. It is shown how these invariants can be accessed via the signature of a suitable spectral localizer. This numerical technique is implemented in an example with relevance to the design of topological photonic systems, such as topological lasers.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.