Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

A comprehensive overview of holographic methods in quantum matter, written by pioneers
in the field. This book, written by pioneers in the field, offers a comprehensive overview of …

Understanding the general principles underlying strongly interacting quantum states out of
equilibrium is one of the most important tasks of current theoretical physics. With …

We consider the nonequilibrium time evolution of piecewise homogeneous states in the XXZ
spin-1/2 chain, a paradigmatic example of an interacting integrable model. The initial state …

We provide a pedagogical review of the main ideas and results in non-equilibrium conformal
field theory and connected subjects. These concern the understanding of quantum transport …

We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

We show that hydrodynamic diffusion is generically present in many-body, one-dimensional
interacting quantum and classical integrable models. We extend the recently developed …

These are lecture notes for a series of lectures given at the Les Houches Summer School on
Integrability in Atomic and Condensed Matter Physics, 30 July to 24 August 2018. The same …

We review the imaginary time path integral approach to the quench dynamics of conformal
field theories. We show how this technique can be applied to the determination of the time …

We extend beyond the Euler scales the hydrodynamic theory for quantum and classical
integrable models developed in recent years, accounting for diffusive dynamics and local …