A short introduction to Generalized Hydrodynamics

TL;DR

This paper provides a concise introduction to Generalized Hydrodynamics, explaining its role in describing large-scale dynamics in quantum integrable models, aimed at non-experts with a focus on a simple fermionic model.

Contribution

It offers an accessible exposition of the core concepts of Generalized Hydrodynamics using a straightforward fermionic model as an illustrative example.

Findings

Introduces the fundamental ideas of Generalized Hydrodynamics

Highlights its application to quantum integrable models

Provides a simplified pedagogical approach

Abstract

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 Generalized Hydrodynamics, which provides a description of the large scale structure of the dynamics in quantum integrable models. The notes are not meant to be comprehensive or provide an overview of all relevant literature, but rather give an exposition of the key ideas for non-experts, using a simple fermionic tight-binding model as the main example.