In the past decade modern societies have developed enormous communication and social
networks. Their classification and information retrieval processing has become a formidable …

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 …

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 study various methods to generate ensembles of random density matrices of a fixed size
N, obtained by partial trace of pure states on composite systems. Structured ensembles of …

The survival probability of an initial Coherent Gibbs State (CGS) is a natural extension of the
Spectral Form Factor (SFF) to open quantum systems. To quantify the interplay between …

Several techniques of generating random quantum channels, which act on the set of d-
dimensional quantum states, are investigated. We present three approaches to the problem …

We study the mixing behavior of random Lindblad generators with no symmetries, using the
dynamical map or propagator of the dissipative evolution. In particular, we determine the …

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 investigate the nonstationary phenomenon in a tripartite spin-1/2 system in the collision
model (CM) framework. After introducing the dissipation through the system-environment …

The study of dissipation and decoherence in generic open quantum systems recently led to
the investigation of spectral and steady-state properties of random Lindbladian dynamics. A …