The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …

Two exact relations between mutlifractal exponents are shown to hold at the critical point of
the Anderson localization transition. The first relation implies a symmetry of the multifractal …

Despite being ubiquitous, out-of-equilibrium quantum systems are much less understood
than systems at equilibrium. Progress in the field has benefited from a symbiotic relationship …

We study spectral properties and the dynamics after a quench of one-dimensional spinless
fermions with short-range interactions and long-range random hopping. We show that a …

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 unitary dynamics and the thermalization properties of free-fermion-like
Hamiltonians after a sudden quantum quench, extending the results of S. Ziraldo et al.[Phys …

We find that the statistics of levels undergoing the metal–insulator transition in systems with
Gaussian disorder and non-interacting electrons behaves in a way similar to that of the …

We investigate the effect of classical singularities on the quantum properties of nonrandom
Hamiltonians. A kicked rotator with a nonanalytical potential is discussed in detail. It is …

The generation of entanglement in mixed states is relevant to quantum systems coupled to
an environment. The dissipative and mixing properties of the environment are unavoidable …

We study the structural characteristics of complex networks using the representative
eigenvectors of the adjacent matrix. The probability distribution function of the components …