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 …

The emergence of a special type of fluidlike behavior at large scales in one-dimensional
(1D) quantum integrable systems, theoretically predicted in OA Castro-Alvaredo et al …

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 show that hydrodynamic diffusion is generically present in many-body, one-dimensional
interacting quantum and classical integrable models. We extend the recently developed …

We extend beyond the Euler scales the hydrodynamic theory for quantum and classical
integrable models developed in recent years, accounting for diffusive dynamics and local …

We consider the quantum quench in the XX spin chain starting from a tilted Néel state which
explicitly breaks the $ U (1) $ symmetry of the post-quench Hamiltonian. Very surprisingly …

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 …

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

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 …