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 …

Many experimentally relevant quantum spin chains are approximately integrable, and
support long-lived quasiparticle excitations. A canonical example of integrable model of …

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 …

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 …

We review the recent theoretical and experimental progress regarding the generalized
hydrodynamics (GHD) behavior of the one-dimensional (1D) Bose gas with contact …

We review recent progress in understanding nearly integrable models within the framework
of generalized hydrodynamics (GHD). Integrable systems have infinitely many conserved …

We review the recent advances on exact results for dynamical correlation functions at large
scales and related transport coefficients in interacting integrable models. We discuss Drude …

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 …

Hydrodynamics is a powerful emergent theory for the large-scale behaviours in many-body
systems, quantum or classical. It is a gradient series expansion, where different orders of …

We study nonhomogeneous quantum quenches in a one-dimensional gas of repulsive spin-
1/2 fermions, as described by the integrable Yang-Gaudin model. By means of generalized …