Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

Many experimentally relevant quantum spin chains are approximately integrable, and
support long-lived quasiparticle excitations. A canonical example of integrable model of …

The Kardar-Parisi-Zhang (KPZ) universality class describes the coarse-grained behavior of
a wealth of classical stochastic models. Surprisingly, KPZ universality was recently …

Revealing universal behaviours is a hallmark of statistical physics. Phenomena such as the
stochastic growth of crystalline surfaces and of interfaces in bacterial colonies, and spin …

This review summarizes recent advances in our understanding of anomalous transport in
spin chains, viewed through the lens of integrability. Numerical advances, based on tensor …

Conventional hydrodynamics describes systems with few long-lived excitations. In one
dimension, however, many experimentally relevant systems feature a large number of long …

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 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 …

Understanding how hydrodynamic behaviour emerges from the unitary evolution of the
many-particle Schrödinger equation is a central goal of non-equilibrium statistical …

Universal nonequilibrium properties of isolated quantum systems are typically probed by
studying transport of conserved quantities, such as charge or spin, while transport of energy …