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

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 …

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 …

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

Finite-temperature spin transport in the quantum Heisenberg spin chain is known to be
superdiffusive, and has been conjectured to lie in the Kardar-Parisi-Zhang (KPZ) universality …

We consider the out-of-equilibrium dynamics of an interacting integrable system in the
presence of an external dephasing noise. In the limit of large spatial correlation of the noise …

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 …

Locally quasi-stationary states (LQSS) were introduced as inhomogeneous generalisations
of stationary states in integrable systems. Roughly speaking, LQSSs look like stationary …

Using the framework of generalized hydrodynamics, we compute the low-frequency spin
conductivity σ (ω) of XXZ spin chains with easy-plane anisotropy. We find that for almost all …

We study the non-equilibrium dynamics of conformal field theory (CFT) in 1+ 1 dimensions
with a smooth position-dependent velocity v (x) explicitly breaking translation invariance …