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 …

Cold atomic gases have become a paradigmatic system for exploring fundamental physics,
which at the same time allows for applications in quantum technologies. The accelerating …

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 …

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 …

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

Physical systems made of many interacting quantum particles can often be described by
Euler hydrodynamic equations in the limit of long wavelengths and low frequencies …

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 …

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 …