Spectral correlations are a powerful tool to study the dynamics of quantum many-body
systems. For Hermitian Hamiltonians, quantum chaotic motion is related to random matrix …

We propose a measure, which we call the dissipative spectral form factor (DSFF), to
characterize the spectral statistics of non-Hermitian (and nonunitary) matrices. We show that …

The explorations of non-Hermiticity have been devoted to investigate the disorder-induced
many-body localization (MBL). However, the sensitivity of the spatial boundary conditions …

In many studies, it is common to use binary (ie, unweighted) edges to examine networks of
entities that are either adjacent or not adjacent. Researchers have generalized such binary …

This open access book focuses on the Ginibre ensembles that are non-Hermitian random
matrices proposed by Ginibre in 1965. Since that time, they have enjoyed prominence within …

Recent studies on disorder-induced many-body localization (MBL) in non-Hermitian
quantum systems have attracted great interest. However, the non-Hermitian disorder-free …

Singular-value statistics (SVS) has been recently presented as a random matrix theory tool
able to properly characterize non-Hermitian random matrix ensembles [PRX Quantum 4 …

Here we introduce the non-Hermitian diluted banded random matrix (nHdBRM) ensemble
as the set of N× N real nonsymmetric matrices whose entries are independent Gaussian …

Although the spectral properties of random graphs have been a long-standing focus of
network theory, the properties of right eigenvectors of directed graphs have so far eluded an …

The dynamics of open quantum systems can be described by a Liouvillian, which in the
Markovian approximation fulfills the Lindblad master equation. We present a family of …