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 …

The transverse field Ising and XY models (the simplest quantum spin models) provide the
organising principle for the rich variety of interconnected subjects which are covered in this …

We discuss a phase space representation of quantum dynamics of systems with many
degrees of freedom. This representation is based on a perturbative expansion in quantum …

Interacting spin systems are of fundamental relevance in different areas of physics, as well
as in quantum information science and biology. These spin models represent the simplest …

We establish a set of nonequilibrium quantum phase transitions in the Dicke model by
considering a monochromatic nonadiabatic modulation of the atom-field coupling. For weak …

Advances in atomic physics have led to the possibility of a coherent transformation between
ultracold atoms and molecules including between completely bosonic condensates. Such …

We study the off-equilibrium dynamics of the infinite-dimensional Bose-Hubbard model after
a quantum quench. The dynamics can be analyzed exactly by map** it to an effective …

We develop a generic method to compute the dynamics induced by quenches in completely
connected quantum systems. These models are expected to provide a mean-field …

How do isolated quantum systems approach an equilibrium state? We experimentally and
theoretically address this question for a prototypical spin system formed by ultracold atoms …