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 …

Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

We consider the nonequilibrium time evolution of piecewise homogeneous states in the XXZ
spin-1/2 chain, a paradigmatic example of an interacting integrable model. The initial state …

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 give a pedagogical introduction to the generalized hydrodynamic approach to
inhomogeneous quenches in integrable many-body quantum systems. We review recent …

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

The conventional theory of hydrodynamics describes the evolution in time of chaotic many-
particle systems from local to global equilibrium. In a quantum integrable system, local …

We identify a class of one-dimensional spin and fermionic lattice models that display
diverging spin and charge diffusion constants, including several paradigmatic models of …

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 …