Transport in one-dimensional integrable quantum systems
arXiv:1910.12155 · doi:10.21468/SciPostPhysLectNotes.17
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.
Lecture notes: Les Houches Summer School 2018
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Cited by in corpus (21)
- Finite-temperature transport in one-dimensional quantum lattice models
- Superdiffusion in spin chains
- Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
- Prethermal fragmentation in a periodically driven Fermionic chain
- Thermodynamics and fractal Drude weights in the sine-Gordon model
- Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
- Emergent symmetries in prethermal phases of periodically driven quantum systems
- Power-law decay of correlations after a global quench in the massive XXZ chain
- Spin conductivity of the XXZ chain in the antiferromagnetic massive regime
- Analytical results for the low-temperature Drude weight of the XXZ spin chain
- Fine structure of the nonlinear Drude weights in the spin-1/2 XXZ chain
- Signatures of fragmentation for periodically driven fermions
- Superdiffusive transport on lattices with nodal impurities
- Operator Growth in Disordered Spin Chains: Indications for the Absence of Many-Body Localization
- Non-linear Transport by Bethe Bound States
- Simulating spin dynamics with quantum computers
- Drude weights in one-dimensional systems with a single defect
- Absence of nontrivial local conserved quantities in the spin-1 bilinear-biquadratic chain and its anisotropic extensions
- Thermal Drude weight in an integrable chiral clock model
- Viscous Drude weight of dual Bose and Fermi gases in one dimension
- Quantum transport in 1D Hubbard model: Drude weights and Seebeck effect