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 two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

We review the properties of reduced density matrices for free fermionic or bosonic many-
particle systems in their ground state. Their basic feature is that they have a thermal form …

We investigate the spreading of information in a one-dimensional Bose–Hubbard system
after a sudden parameter change. In particular, we study the time evolution of correlations …

We study the unitary time evolution of antiferromagnetic order in anisotropic Heisenberg
chains that are initially prepared in a pure quantum state far from equilibrium. Our analysis …

We discuss several classes of integrable Floquet systems, ie systems which do not exhibit
chaotic behavior even under a time dependent perturbation. The first class is associated …

We prove that quantum many-body systems on a one-dimensional lattice locally relax to
Gaussian states under non-equilibrium dynamics generated by a bosonic quadratic …

The band structure and electronic properties of a material are defined by the sort of
elements, the atomic registry in the crystal, the dimensions, the presence of spin–orbit …

Motivated by recent experiments in ultracold atomic gases that explore the nonequilibrium
dynamics of interacting quantum many-body systems, we investigate the nonequilibrium …

Recent experimental achievements in controlling ultracold gases in optical lattices open a
new perspective on quantum many-body physics. In these experimental setups, it is possible …