On the statistics of resonances and non-orthogonal eigenfunctions in a model for single-channel chaotic scattering

TL;DR

This paper investigates the statistical behavior of complex eigenvalues and non-orthogonal eigenfunctions in non-Hermitian random matrices, providing insights into single-channel quantum-chaotic scattering with broken time-reversal symmetry.

Contribution

It offers new analytical and numerical analysis of eigenvalue distributions and eigenvector properties in models of quantum-chaotic scattering.

Findings

Distribution patterns of complex eigenvalues

Characteristics of non-orthogonal eigenfunctions

Implications for quantum-chaotic scattering models

Abstract

We describe analytical and numerical results on the statistical properties of complex eigenvalues and the corresponding non-orthogonal eigenvectors for non-Hermitian random matrices modeling one-channel quantum-chaotic scattering in systems with broken time-reversal invariance.