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 …

Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

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 …

Thermal and many-body localized phases are separated by a dynamical phase transition of
a new kind. We analyze the distribution of off-diagonal matrix elements of local operators …

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

Random electron systems show rich phases such as Anderson insulator, diffusive metal,
quantum Hall and quantum anomalous Hall insulators, Weyl semimetal, as well as …

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 …