Spectral statistics of disordered systems encode Thouless and Heisenberg timescales,
whose ratio determines whether the system is chaotic or localized. We show that the scaling …

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 …

It is by now well established that Dirac fermions coupled to non-Abelian gauge theories can
undergo an Anderson-type localization transition. This transition affects eigenmodes in the …

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

We describe a new multifractal finite-size scaling (MFSS) procedure and its application to
the Anderson localization-delocalization transition. MFSS permits the simultaneous …

A numerical study of Anderson transition on random regular graphs (RRGs) with diagonal
disorder is performed. The problem can be described as a tight-binding model on a lattice …

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 report a careful finite size scaling study of the metal–insulator transition in Anderson's
model of localization. We focus on the estimation of the critical exponent ν that describes the …

We investigate analytically and numerically eigenfunction statistics in a disordered system
on a finite Bethe lattice (Cayley tree). We show that the wave-function amplitude at the root …

Dimension 2 is expected to be the lower critical dimension for Anderson localization in a
time-reversal-invariant disordered quantum system. Using an atomic quasiperiodic kicked …