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 …

The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …

We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and
Floquet quantum systems using the language of commutant algebras, the algebra of all …

Understanding the general principles underlying strongly interacting quantum states out of
equilibrium is one of the most important tasks of current theoretical physics. With …

We consider the nonequilibrium time evolution of piecewise homogeneous states in the XXZ
spin-1/2 chain, a paradigmatic example of an interacting integrable model. The initial state …

Atomtronics deals with matter-wave circuits of ultracold atoms manipulated through
magnetic or laser-generated guides with different shapes and intensities. In this way, new …

The generalized Gibbs ensemble (GGE) was introduced ten years ago to describe
observables in isolated integrable quantum systems after equilibration. Since then, the GGE …

The emergence of a special type of fluidlike behavior at large scales in one-dimensional
(1D) quantum integrable systems, theoretically predicted in OA Castro-Alvaredo et al …

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 address the hydrodynamics of operator spreading in interacting integrable lattice
models. In these models, operators spread through the ballistic propagation of …