We develop a class of matrix models that implement and formalize the eigenstate
thermalization hypothesis (ETH) and point out that, in general, these models must contain …

The concept of “deep thermalization” has recently been introduced to characterize moments
of an ensemble of pure states, resulting from projective measurements on a subsystem …

We consider the statistical properties of eigenstates of the time-evolution operator in chaotic
many-body quantum systems. Our focus is on correlations between eigenstates that are …

Abstract We prove the Eigenstate Thermalization Hypothesis for general Wigner-type
matrices in the bulk of the self-consistent spectrum, with optimal control on the fluctuations …

Eigenstate thermalization has been numerically shown to occur for few-body observables in
a wide range of nonintegrable models. For intensive sums of few-body observables, a …

We study the XXZ model with a random magnetic field in contact with a weakly disordered
spin chain, acting as a finite thermal bath. We revise Fermi's golden rule description of the …

Ergodicity, a fundamental concept in statistical mechanics, is not yet a fully understood
phenomena for closed quantum systems, particularly its connection with the underlying …

We study statistical properties of matrix elements of observables written in the energy
eigenbasis and truncated to small microcanonical windows. We present numerical evidence …

The eigenstate thermalization hypothesis (ETH) is a successful theory that establishes the
criteria for ergodicity and thermalization in isolated quantum many-body systems. In this …

Nonintegrable systems thermalize, leading to the emergence of fluctuating hydrodynamics.
Typically, this hydrodynamics is diffusive. We use the effective field theory (EFT) of diffusion …