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 …

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 …

We investigate the structure of many-body wave functions of 1D quantum circuits with local
measurements employing the participation entropies. The leading term in system size …

Universal quantum computing requires nonstabilizer (magic) quantum states. Quantifying
the nonstabilizerness and relating it to other quantum resources is vital for characterizing the …

The isolated one-dimensional Heisenberg model with static random magnetic fields has
become paradigmatic for the analysis of many-body localization. Here, we study the …

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 …

We perform a thorough and complete analysis of the Anderson localization transition on
several models of random graphs with regular and random connectivity. The unprecedented …

We study the effect of quasiperiodic Aubry-André disorder on the energy spectrum and
eigenstates of a one-dimensional all-band-flat (ABF) diamond chain. The ABF diamond …

An overview of the random network model invented by Chalker and Coddington, and its
generalizations, is provided. After a short introduction into the physics of the Integer …

The topological phase transition in a Hermitian system is associated with a change in the
topological invariant that characterizes the band structure of the two distinct phases …