This review gives a pedagogical introduction to the eigenstate thermalization hypothesis
(ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first …

The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

The emergence of statistical mechanics for isolated classical systems comes about through
chaotic dynamics and ergodicity. Here we review how similar questions can be answered in …

A key step toward demonstrating a quantum system that can address difficult problems in
physics and chemistry will be performing a computation beyond the capabilities of any …

The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

The generalized Gibbs ensemble (GGE) was introduced ten years ago to describe
observables in isolated integrable quantum systems after equilibration. Since then, the GGE …

We analyze quantum dynamics of strongly interacting, kinetically constrained many-body
systems. Motivated by recent experiments demonstrating surprising long-lived, periodic …

The spreading of entanglement in out-of-equilibrium quantum systems is currently at the
center of intense interdisciplinary research efforts involving communities with interests …

The interplay between symmetries and entanglement in out-of-equilibrium quantum systems
is currently at the center of an intense multidisciplinary research effort. Here we introduce a …

We consider the time evolution of order parameter correlation functions after a sudden
quantum quench of the magnetic field in the transverse field Ising chain. Using two novel …