We address the hydrodynamics of operator spreading in interacting integrable lattice
models. In these models, operators spread through the ballistic propagation of …

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

The presence of global conserved quantities in interacting systems generically leads to
diffusive transport at late times. Here, we show that systems conserving the dipole moment …

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 …

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 …

Certain disorder-free Hamiltonians can be nonergodic due to a strong fragmentation of the
Hilbert space into disconnected sectors. Here, we characterize such systems by introducing …

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 …

Quantum dynamics with local interactions in lattice models display rich physics, but is
notoriously hard to study. Dual-unitary circuits allow for exact answers to interesting physical …

Recent studies have found that fluctuations of magnetization transfer in integrable spin
chains violate the central limit property. Here, we revisit the problem of anomalous counting …

We analytically compute the full counting statistics of charge transfer in a classical
automaton of interacting charged particles. Deriving a closed-form expression for the …