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

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 use the resonant dipole-dipole interaction between Rydberg atoms and a periodic
external microwave field to engineer XXZ spin Hamiltonians with tunable anisotropies. The …

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 …

Enhancing light–matter coupling at the level of single quanta is essential for numerous
applications in quantum science. The cooperative optical response of subwavelength atomic …

Identifying universal properties of nonequilibrium quantum states is a major challenge in
modern physics. A fascinating prediction is that classical hydrodynamics emerges …

Abstract Systems of correlated particles appear in many fields of modern science and
represent some of the most intractable computational problems in nature. The computational …

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 …

A fundamental principle of chaotic quantum dynamics is that local subsystems eventually
approach a thermal equilibrium state. The corresponding timescales increase with …

Exact solutions for quantum many-body systems are rare but provide valuable insights for
the description of universal phenomena such as the non-equilibrium dynamics of strongly …