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 Heisenberg spin chain is a canonical integrable model. As such, it features stable
ballistically propagating quasiparticles, but spin transport is subballistic at any nonzero …

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 address the nature of spin transport in the integrable XXZ spin chain, focusing on the
isotropic Heisenberg limit. We calculate the diffusion constant using a kinetic picture based …

Superdiffusive finite-temperature transport has been recently observed in a variety of
integrable systems with non-Abelian global symmetries. Superdiffusion is caused by giant …

We describe the crossover from generalized to conventional hydrodynamics in nearly
integrable systems. Integrable systems have infinitely many conserved quantities, which …

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 …

Understanding universal aspects of quantum dynamics is an unresolved problem in
statistical mechanics. In particular, the spin dynamics of the one-dimensional Heisenberg …

Many-body localization (MBL) describes a class of systems that do not approach thermal
equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form …

We compute the spin-structure factor of XXZ spin chains in the Heisenberg and gapped
(Ising) regimes in the high-temperature limit for nonzero magnetization, within the framework …