What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

Universal properties of simple quantum systems whose classical counter parts are chaotic,
are modeled by the classical random matrix ensembles and their interpolations …

We consider many-body quantum systems that exhibit quantum chaos, in the sense that the
observables of interest act on energy eigenstates like banded random matrices. We study …

The article reviews the physics of Anderson localization on random regular graphs (RRG)
and its connections to many-body localization (MBL) in disordered interacting systems …

In the last decade, there has been an increasing interest in the analysis of energy level
spectra and wave functions of nuclei, particles, atoms and other quantum many-body …

The quantum localization is one of the remarkable phenomena in the studies of quantum
chaos and plays an important role in various contexts. Thus, an understanding of the …

In this review we summarize and amplify recent investigations of coupled quantum
dynamical systems with few degrees of freedom in the short-wavelength, semiclassical limit …

We study the standard generic quantum computer model, which describes a realistic
isolated quantum computer with fluctuations in individual qubit energies and residual short …

We investigate the onset of “eigenstate thermalization” and the crossover to ergodicity in a
system of one-dimensional fermions with increasing interaction. We analyze the fluctuations …

We analyze the role of spectral diffusion in the problem of many‐body delocalization in
quantum dots and in extended systems. The spectral diffusion parametrically enhances …