TY - JOUR
T1 - 非厄米力学系统基本原理与研究进展
AU - Geng, Linlin
AU - Yuan, Jinbo
AU - Cheng, Wen
AU - Hu, Gengkai
AU - Zhou, Xiaoming
N1 - Publisher Copyright:
© 2024 Advances in Mechanics.
PY - 2024/3
Y1 - 2024/3
N2 - 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.
AB - 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.
KW - exceptional point
KW - non-Hermitian system
KW - non-Hermitian topology
KW - non-conservative system
KW - parity-time symmetry
UR - http://www.scopus.com/inward/record.url?scp=85189320240&partnerID=8YFLogxK
U2 - 10.6052/1000-0992-23-034
DO - 10.6052/1000-0992-23-034
M3 - 文献综述
AN - SCOPUS:85189320240
SN - 1000-0992
VL - 54
SP - 1
EP - 60
JO - Advances in Mechanics
JF - Advances in Mechanics
IS - 1
ER -