Transport in one-dimensional integrable quantum systems

2019/10/26 by Jesko Sirker, J. Sirker · 25 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Charge (physics) #Integrable system #Quantum #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum system #Series (stratigraphy) #Spin (aerodynamics) #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.21468/scipostphyslectnotes.17

published in SciPost Physics Lecture Notes (SciPost.org) · Lecture notes: Les Houches Summer School 2018

arxiv created 2019/10/26 · openalex created_date 2019/11/01 · openalex publication_date 2020/08/20 · arxiv updated 2020/08/24 · openalex updated_date 2026/08/05

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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mn>1</mml:mn> <mml:mi>/</mml:mi> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> XXZ spin chain.

Citations

• Dynamical structure factor at smallqfor the XXZ spin-1/2 chain
• Density dynamics in translationally invariant spin-12chains at high temperatures: A current-autocorrelation approach to finite time and length scales
• Bethe-Boltzmann hydrodynamics and spin transport in the XXZ chain

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