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 …

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 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 …

The time evolution of the entanglement entropy in non-equilibrium quantum systems
provides crucial information about the structure of the time-dependent state. For quantum …

Generalized hydrodynamics predicts universal ballistic transport in integrable lattice systems
when prepared in generic inhomogeneous initial states. However, the ballistic contribution …

We show that the equations of generalized hydrodynamics (GHD), a hydrodynamic theory
for integrable quantum systems at the Euler scale, emerge in full generality in a family of …

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 …