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 …

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 …

We consider the out-of-equilibrium dynamics generated by joining two domains with
arbitrary opposite magnetizations. We study the stationary state which emerges by the …

We consider the nonequilibrium protocol where two semi-infinite gapped XXZ chains,
initially prepared in different equilibrium states, are suddenly joined together. At large times …

We review and extend, in a self-contained way, the mathematical foundations of numerical
simulation methods that are based on the use of random states. The power and versatility of …

We generate in-plane magnetoelastic waves in nickel films using the all-optical transient
grating technique. When performed on amorphous glass substrates, two dominant …

We study how perturbations affect dynamics of integrable many-body quantum systems,
causing transition from integrability to chaos. Looking at spin transport in the Heisenberg …

Quantum spin liquids are long-range entangled states of matter with emergent gauge fields
and fractionalized excitations. While candidate materials, such as the Kitaev honeycomb …

Loosely speaking, the concept of quantum typicality refers to the fact that a single pure state
can imitate the full statistical ensemble. This fact has given rise to a rather simple but …