We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

Many-body localization (MBL) describes a class of systems that do not approach thermal
equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form …

Quantum technologies will ultimately require manipulating many-body quantum systems
with high precision. Cold atom experiments represent a step** stone in that direction: a …

Motivated by recent experiments, we study the relaxation dynamics and thermalization in the
one-dimensional Bose-Hubbard model induced by a global interaction quench. Specifically …

We propose that nonequilibrium quantum criticality in open systems under the Born-Markov
approximation can be described by a master equation of the Lindblad form. This master …

We study the Bose-Hubbard and Fermi-Hubbard models in the (formal) limit of large
coordination numbers Z≫ 1. Via an expansion into powers of 1/Z, we establish a hierarchy …

We study the evolution of bosons in a periodically driven optical lattice during a slow change
of the driving amplitude. Both the regime of high-frequency and low-frequency driving are …

Abstract The Kibble-Zurek mechanism captures universality when a system is driven through
a continuous phase transition. Here we study the dynamical aspect of quantum phase …

We investigate the dynamics of Mott-insulating regions of a trapped bosonic gas as the
interaction strength is changed linearly with time. The bosonic gas considered is loaded into …

We study the nonequilibrium dynamics of one-dimensional Mott-insulating bosons in the
presence of a tunable effective electric field E which takes the system across a quantum …