Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

Critical fluctuations of wave functions and energy levels at the Anderson transition are
studied for the family of the power-law random banded matrix ensembles. It is shown that the …

Eigenstates of local many-body interacting systems that are far from spectral edges are
thought to be ergodic and close to being random states. This is consistent with the …

Multifractal dimensions allow for characterizing the localization properties of states in
complex quantum systems. For ergodic states the finite-size versions of fractal dimensions …

Level statistics of systems that undergo many-body localization transition are studied. An
analysis of the gap ratio statistics from the perspective of inter-and intrasample randomness …

We review recent developments in quantum scattering from mesoscopic systems. Various
spatial geometries whose closed analogues show diffusive, localized or critical behaviour …

We study the interplay of superconductivity and disorder by solving numerically the
Bogoliubov–de Gennes equations in a two-dimensional lattice of size 80× 80, which makes …

We study a disordered weakly coupled superconductor around the Anderson transition by
solving numerically the Bogoliubov–de Gennes (BdG) equations in a three-dimensional …

A number of experimental platforms for quantum simulations of disordered quantum matter,
from dipolar systems to trapped ions, involve degrees of freedom which are coupled by …

We investigate how the dynamical fluctuations of many-body quantum systems out of
equilibrium can be mitigated when they are opened to a dephasing environment. We …