Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …

We re-examine attempts to study the many-body localization transition using measures that
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …

We analyze a one-dimensional XXZ spin chain in a disordered magnetic field. As the main
probes of the system's behavior, we use the sensitivity of eigenstates to adiabatic …

The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …

The Anderson transition in random graphs has raised great interest, partly out of the hope
that its analogy with the many-body localization (MBL) transition might lead to a better …

We analyze a crossover between ergodic and nonergodic regimes in an interacting spin
chain with a dilute density of impurities, defined as spins with a strong local field. The dilute …

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 …

In this paper we study the many-body localization (MBL) transition and relate it to the
eigenstate structure in the Fock space. Besides the standard entanglement and multifractal …

Krylov space methods provide an efficient framework for analyzing the static and dynamical
aspects of quantum systems, with tridiagonal matrices playing a key role. Despite their …