The relevance of the open quantum system formalism for the description of weakly bound
nuclei far from the valley of stability, small droplets of neutral atoms, gas of trapped atoms …

The paper discusses recent progress in understanding statistical properties of eigenvalues
of (weakly) non-Hermitian and non-unitary random matrices. The first type of ensembles is of …

We perform a systematic symmetry classification of many-body Lindblad superoperators
describing general (interacting) open quantum systems coupled to a Markovian …

To understand the typical dynamics of an open quantum system in continuous time, we
introduce an ensemble of random Lindblad operators, which generate completely positive …

We suggest a method of studying the joint probability density (JPD) of an eigenvalue and the
associated 'non-orthogonality overlap factor'(also known as the 'eigenvalue condition …

Continuous-time Markovian evolution appears to be manifestly different in classical and
quantum worlds. We consider ensembles of random generators of N-dimensional Markovian …

We study the overlaps between eigenvectors of nonnormal matrices. They quantify the
stability of the spectrum, and characterize the joint eigenvalues increments under Dyson …

Sparse non-Hermitian random matrices arise in the study of disordered physical systems
with asymmetric local interactions, and have applications ranging from neural networks to …

We study analytically the Chalker-Mehlig mean diagonal overlap $\mathcal {O}(z) $ between
left and right eigenvectors associated with a complex eigenvalue $ z $ of $ N\times N …

Statistical properties of eigenvectors in non-Hermitian random matrix ensembles are
discussed, with an emphasis on correlations between left and right eigenvectors. Two …