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 …

We overview the concept of dynamical phase transitions (DPTs) in isolated quantum
systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized …

Widely tunable and narrow-linewidth lasers at visible wavelengths are necessary for
applications such as quantum optics, optical clocks and atomic and molecular physics. At …

Simple models of interacting spins have an important role in physics. They capture the
properties of many magnetic materials, but also extend to other systems, such as bosons …

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

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 problem of how complex quantum systems eventually come to rest lies at the heart of
statistical mechanics. The maximum-entropy principle describes which quantum states can …

Originally, the Hubbard model was derived for describing the behavior of strongly correlated
electrons in solids. However, for over a decade now, variations of it have also routinely been …

Coherent many-body quantum dynamics lies at the heart of quantum simulation and
quantum computation. Both require coherent evolution in the exponentially large Hilbert …

Spin-exchanging interactions govern the properties of strongly correlated electron systems
such as many magnetic materials. When orbital degrees of freedom are present, spin …