非厄米力学系统基本原理与研究进展

Linlin Geng, Jinbo Yuan, Wen Cheng, Gengkai Hu, Xiaoming Zhou*

*此作品的通讯作者

科研成果: 期刊稿件文献综述同行评审

摘要

Non-Hermitian theory, originated from quantum mechanics, is a theoretical framework for investigating the dynamics of open systems. New phenomena can be revealed with this theory, including exceptional point, chiral mode switching, and topological skin effect, which provide novel concepts for unusual wave and vibration control. This review will provide a comprehensive introduction to basic concepts of non-Hermitian theory in terms of classical mechanical systems, clarify the relationship between classical and non-Hermitian systems, and summarize the cutting-edge research progress in this field. Exceptional points and parity-time symmetry in non-Hermitian systems are firstly introduced. Then, the perturbation theory near exceptional points and its application to enhanced sensitivity are presented. Subsequently, the eigenvalue topological structure near exceptional points and eigenmode evolution in the process of dynamical encircling of exceptional points are discussed. Finally, the topological phase property of non-Hermitian mechanical systems is introduced.

投稿的翻译标题Fundamental principles and research progress of non-Hermitian mechanical systems
源语言繁体中文
页(从-至)1-60
页数60
期刊Advances in Mechanics
54
1
DOI
出版状态已出版 - 3月 2024

关键词

  • exceptional point
  • non-Hermitian system
  • non-Hermitian topology
  • non-conservative system
  • parity-time symmetry

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