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 …

For many years, the Luttinger liquid theory has served as a useful paradigm for the
description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is …

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 …

We review recent progress in understanding the notion of locality in integrable quantum
lattice systems. The central concept concerns the so-called quasilocal conserved quantities …

An explicit matrix product ansatz is presented, in the first two orders in the (weak) coupling
parameter, for the nonequilibrium steady state of the homogeneous, nearest neighbor …

We study experimentally the far-from-equilibrium dynamics in ferromagnetic Heisenberg
quantum magnets realized with ultracold atoms in an optical lattice. After controlled …

Nonergodic dynamical systems display anomalous transport properties. Prominent
examples are integrable quantum systems, whose exceptional properties are diverging dc …

We analytically and numerically study spin transport in a one-dimensional Heisenberg
model in linear-response regime at infinite temperature. It is shown that as the anisotropy …

We consider the out-of-equilibrium dynamics generated by joining two domains with
arbitrary opposite magnetizations. We study the stationary state which emerges by the …

Quantum integrable systems, such as the interacting Bose gas in one dimension and the
XXZ quantum spin chain, have an extensive number of local conserved quantities that …