Level statistics of real eigenvalues in non-Hermitian systems
Zhenyu Xiao, Kohei Kawabata, Xunlong Luo, Tomi Ohtsuki, Ryuichi Shindou
Abstract
Time-reversal symmetry and pseudo-Hermicity are shown to lead to five universal level statistics of real eigenvalues of non-Hermitian systems, using random matrix theory analyses and numerical diagonalizations.
Topics & Concepts
Eigenvalues and eigenvectorsHermitian matrixRandom matrixMathematicsNonlinear systemMatrix (chemical analysis)Symmetry (geometry)StatisticsPure mathematicsPhysicsQuantum mechanicsGeometryComposite materialMaterials scienceQuantum Mechanics and Non-Hermitian PhysicsQuantum chaos and dynamical systemsSpectral Theory in Mathematical Physics