This Colloquium gives an overview of recent theoretical and experimental progress in the
area of nonequilibrium dynamics of isolated quantum systems. There is particularly a focus …

We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

We consider the Rabi Hamiltonian, which exhibits a quantum phase transition (QPT) despite
consisting only of a single-mode cavity field and a two-level atom. We prove QPT by deriving …

We study quenches across the Bose-Hubbard Mott-insulator-to-superfluid quantum phase
transition by using an ultracold atomic gas trapped in an optical lattice. Quenching from the …

We address the question of whether the super-Heisenberg scaling for quantum estimation is
indeed realizable. We unify the results of two approaches. In the first one, the original system …

Phase transitions represent a compelling tool for classical and quantum sensing
applications. It has been demonstrated that quantum sensors can in principle saturate the …

Universality is a powerful concept, which enables making qualitative and quantitative
predictions in systems with extensively many degrees of freedom. It finds realizations in …

The generalized Gibbs ensemble introduced for describing few-body correlations in exactly
solvable systems following a quantum quench is related to the nonergodic way in which …

By applying complementary analytic and numerical methods, we investigate the dynamics of
spin-1 2 XXZ models with variable-range interactions in arbitrary dimensions. The dynamics …