Lecture notes on Generalised Hydrodynamics

TL;DR

This paper provides a pedagogical overview of generalised hydrodynamics, a theory for describing the large-scale behavior of quantum and classical integrable many-body systems, based on lecture notes from summer schools.

Contribution

It offers a comprehensive introduction to the main concepts and methods of generalised hydrodynamics, making the subject accessible to newcomers.

Findings

Clarifies the theoretical foundations of generalised hydrodynamics

Summarizes key applications in integrable systems

Provides educational material for further research

Abstract

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 series of lectures has also been given at the Tokyo Institute of Technology, October 2019. I overview in a pedagogical fashion the main aspects of the theory of generalised hydrodynamics, a hydrodynamic theory for quantum and classical many-body integrable systems. Only very basic knowledge of hydrodynamics and integrable systems is assumed.