Many experimentally relevant quantum spin chains are approximately integrable, and
support long-lived quasiparticle excitations. A canonical example of integrable model of …

The Heisenberg spin chain is a canonical integrable model. As such, it features stable
ballistically propagating quasiparticles, but spin transport is subballistic at any nonzero …

The highly complicated nature of far from equilibrium systems can lead to a complete
breakdown of the physical intuition developed in equilibrium. A famous example of this is the …

Entanglement asymmetry, which serves as a diagnostic tool for symmetry breaking and a
proxy for thermalization, has recently been proposed and studied in the context of symmetry …

The quantum Mpemba effect is the counterintuitive nonequilibrium phenomenon wherein
the dynamic restoration of a broken symmetry occurs more rapidly when the initial state …

Owing to its probabilistic nature, a measurement process in quantum mechanics produces a
distribution of possible outcomes. This distribution—or its Fourier transform known as full …

Conventional hydrodynamics describes systems with few long-lived excitations. In one
dimension, however, many experimentally relevant systems feature a large number of long …

Cold atomic gases have become a paradigmatic system for exploring fundamental physics,
which at the same time allows for applications in quantum technologies. The accelerating …

These are notes based on lectures given at the 2021 summer school on Fundamental
Problems in Statistical Physics XV. Their purpose is to give a very brief introduction to …

We introduce a new universal framework describing fluctuations and correlations in
quantum and classical many-body systems, at the Euler hydrodynamic scale of space and …