SciPost Physics Lecture Notes

SciPost Phys. Lect. Notes 17 (2020) · published 20 August 2020

Part of the 2018-08: Integrability in Atomic and Condensed Matter Physics Collection in the Les Houches Summer School Lecture Notes Series.

• doi: 10.21468/SciPostPhysLectNotes.17
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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.

• Urichuk et al., Analytical results for the low-temperature Drude weight of the XXZ spin chain
  Phys. Rev. B 103, 245108 (2021) [Crossref]
• Nishida, Viscous Drude weight of dual Bose and Fermi gases in one dimension
  Phys. Rev. A 106, 063317 (2022) [Crossref]
• Takasan et al., Drude weights in one-dimensional systems with a single defect
  Phys. Rev. B 107, 075141 (2023) [Crossref]
• Wang et al., Superdiffusive transport in quasi-particle dephasing models
  SciPost Phys. 17, 150 (2024) [Crossref]
• Ghosh et al., Signatures of fragmentation for periodically driven fermions
  Phys. Rev. B 109, 214304 (2024) [Crossref]
• Ramos et al., Power-law decay of correlations after a global quench in the massive XXZ chain
  Phys. Rev. B 107, 075138 (2023) [Crossref]
• Buča, Unified Theory of Local Quantum Many-Body Dynamics: Eigenoperator Thermalization Theorems
  Phys. Rev. X 13, 031013 (2023) [Crossref]
• Urichuk et al., Nonlinear Transport by Bethe Bound States
  Phys. Rev. Lett. 129, 096602 (2022) [Crossref]
• Bertini et al., Finite-temperature transport in one-dimensional quantum lattice models
  Rev. Mod. Phys. 93, 025003 (2021) [Crossref]
• Göhmann et al., Spin conductivity of the XXZ chain in the antiferromagnetic massive regime
  SciPost Phys. 12, 158 (2022) [Crossref]
• Ghosh et al., Prethermal Fragmentation in a Periodically Driven Fermionic Chain
  Phys. Rev. Lett. 130, 120401 (2023) [Crossref]
• Diogo Soares et al., Non-unitary quantum many-body dynamics using the Faber polynomial method
  SciPost Phys. 17, 128 (2024) [Crossref]
• Manna et al., Thermal Drude weight in an integrable chiral clock model
  Phys. Rev. B 108, 054304 (2023) [Crossref]
• Nagy et al., Thermodynamics and fractal Drude weights in the sine-Gordon model
  Phys. Rev. B 108, L241105 (2023) [Crossref]
• Bulchandani et al., Superdiffusion in spin chains
  J. Stat. Mech. 2021, 084001 (2021) [Crossref]
• Tanikawa et al., Fine structure of the nonlinear Drude weights in the spin- 12 XXZ chain
  Phys. Rev. B 104, 205116 (2021) [Crossref]
• Wang et al., Superdiffusive transport on lattices with nodal impurities
  Phys. Rev. B 110, 144201 (2024) [Crossref]