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 …

Artificial crystals of light, consisting of hundreds of thousands of optical microtraps, are
routinely created by interfering optical laser beams. These so-called optical lattices act as …

The thermalization of isolated quantum many-body systems is deeply related to fundamental
questions of quantum information theory. While integrable or many-body localized systems …

Strong interactions in many-body quantum systems complicate the interpretation of charge
transport in such materials. To shed light on this problem, we study transport in a clean …

Isolated quantum many-body systems with integrable dynamics generically do not
thermalize when taken far from equilibrium. As one perturbs such systems away from the …

Ultracold atomic gases provide a fantastic platform to implement quantum simulators and
investigate a variety of models initially introduced in condensed matter physics or other …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

Matter waves inside periodic potentials are well known from solid-state physics, where
electrons interacting with a crystal lattice are considered. Atomic Bose-Einstein condensates …

The Fermi-Hubbard model is a key concept in condensed matter physics and provides
crucial insights into electronic and magnetic properties of materials. Yet, the intricate nature …

In recent years, the ability of cold atom experiments to explore condensed-matter-related
questions has dramatically progressed. Transport experiments, in particular, have expanded …