Finite-temperature transport in one-dimensional quantum lattice models

B Bertini, F Heidrich-Meisner, C Karrasch, T Prosen… - Reviews of Modern …, 2021 - APS
Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

Hydrodynamics of weak integrability breaking

A Bastianello, A De Luca… - Journal of Statistical …, 2021 - iopscience.iop.org
We review recent progress in understanding nearly integrable models within the framework
of generalized hydrodynamics (GHD). Integrable systems have infinitely many conserved …

Superdiffusion in spin chains

VB Bulchandani, S Gopalakrishnan… - Journal of Statistical …, 2021 - iopscience.iop.org
This review summarizes recent advances in our understanding of anomalous transport in
spin chains, viewed through the lens of integrability. Numerical advances, based on tensor …

Generalized-hydrodynamic approach to inhomogeneous quenches: correlations, entanglement and quantum effects

V Alba, B Bertini, M Fagotti, L Piroli… - Journal of Statistical …, 2021 - iopscience.iop.org
We give a pedagogical introduction to the generalized hydrodynamic approach to
inhomogeneous quenches in integrable many-body quantum systems. We review recent …

Lecture notes on generalised hydrodynamics

B Doyon - SciPost Physics Lecture Notes, 2020 - scipost.org
These are lecture notes for a series of lectures given at the Les Houches Summer School on
Integrability in Atomic and Condensed Matter Physics, 30 July to 24 August 2018. The same …

Generalized hydrodynamics in the one-dimensional Bose gas: theory and experiments

I Bouchoule, J Dubail - Journal of Statistical Mechanics: Theory …, 2022 - iopscience.iop.org
We review the recent theoretical and experimental progress regarding the generalized
hydrodynamics (GHD) behavior of the one-dimensional (1D) Bose gas with contact …

Superdiffusion from nonabelian symmetries in nearly integrable systems

S Gopalakrishnan, R Vasseur - Annual Review of Condensed …, 2024 - annualreviews.org
The Heisenberg spin chain is a canonical integrable model. As such, it features stable
ballistically propagating quasiparticles, but spin transport is subballistic at any nonzero …

Thermalization of a trapped one-dimensional Bose gas via diffusion

A Bastianello, A De Luca, B Doyon, J De Nardis - Physical Review Letters, 2020 - APS
For a decade the fate of a one-dimensional gas of interacting bosons in an external trapping
potential remained mysterious. We here show that whenever the underlying integrability of …

Generalized hydrodynamics of the KdV soliton gas

T Bonnemain, B Doyon, G El - Journal of Physics A: Mathematical …, 2022 - iopscience.iop.org
We establish the explicit correspondence between the theory of soliton gases in classical
integrable dispersive hydrodynamics, and generalized hydrodynamics (GHD), the …

The folded spin-1/2 XXZ model: II. Thermodynamics and hydrodynamics with a minimal set of charges

L Zadnik, K Bidzhiev, M Fagotti - SciPost Physics, 2021 - scipost.org
We study the (dual) folded spin-1/2 XXZ model in the thermodynamic limit. We focus, in
particular, on a class of local macrostates that includes Gibbs ensembles. We develop a …