Transport in one-dimensional integrable quantum systems

TL;DR

This paper introduces the unique transport properties of integrable quantum systems, especially the spin-1/2 XXZ chain, highlighting their distinctive behavior in linear response regimes.

Contribution

It provides an accessible overview of transport phenomena in integrable models, emphasizing the XXZ spin chain's distinctive features.

Findings

Unusual transport behavior in integrable models

Focus on spin-1/2 XXZ chain dynamics

Introduction to linear response transport properties

Abstract

These notes are based on a series of three lectures given at the Les Houches summer school on 'Integrability in Atomic and Condensed Matter Physics' in August 2018. They provide an introduction into the unusual transport properties of integrable models in the linear response regime focussing, in particular, on the spin-1/2 XXZ spin chain.