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 …

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 …

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 …

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 …

We provide exact results for the dynamics of local-operator entanglement in quantum circuits
with two-dimensional wires featuring ultralocal solitons, ie single-site operators which, up to …

We review recent results on an exactly solvable model of nonequilibrium statistical
mechanics, specifically the classical rule 54 reversible cellular automaton and some of its …

We consider one dimensional block cellular automata, where the local update rules are
given by Yang-Baxter maps, which are set theoretical solutions of the Yang-Baxter …

We construct families of exotic spin-1/2 chains using a procedure called “hard rod
deformation.” We treat both integrable and nonintegrable examples. The models possess a …