Level statistics of real eigenvalues in non-Hermitian systems

Symmetries associated with complex conjugation and Hermitian conjugation, such as time-reversal symmetry and pseudo-Hermiticity, have a great impact on the eigenvalue spectra of non-Hermitian random matrices. Here, we show that time-reversal symmetry and pseudo-Hermiticity lead to universal level st...

Full description

Bibliographic Details
Main Authors: Zhenyu Xiao, Kohei Kawabata, Xunlong Luo, Tomi Ohtsuki, Ryuichi Shindou
Format: Article
Language:English
Published: American Physical Society 2022-12-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.043196