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 …

Feshbach resonances are the essential tool to control the interaction between atoms in
ultracold quantum gases. They have found numerous experimental applications, opening up …

The modern description of elementary particles, as formulated in the standard model of
particle physics, is built on gauge theories. Gauge theories implement fundamental laws of …

Many-body localization (MBL), the disorder-induced localization of interacting particles,
signals a breakdown of conventional thermodynamics because MBL systems do not …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

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

This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …

Low-dimensional quantum systems can host anyons, particles with exchange statistics that
are neither bosonic nor fermionic. However, the physics of anyons in one dimension …

The existence of bound states of elementary spin waves (magnons) in one-dimensional
quantum magnets was predicted almost 80 years ago. Identifying signatures of magnon …

Full control over the dynamics of interacting, indistinguishable quantum particles is an
important prerequisite for the experimental study of strongly correlated quantum matter and …