How do closed quantum many-body systems driven out of equilibrium eventually achieve
equilibration? And how do these systems thermalize, given that they comprise so many …

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 …

The dynamics of quantum phase transitions pose one of the most challenging problems in
modern many-body physics. Here, we study a prototypical example in a clean and well …

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 …

In this work, we investigate how quickly local perturbations propagate in interacting boson
systems with Bose-Hubbard–type Hamiltonians. In general, these systems have unbounded …

After a quantum quench, a sudden change of parameters, generic many-particle quantum
systems are expected to equilibrate. A few collisions of quasiparticles are usually sufficient …

We study the time evolution in the transverse-field Ising chain subject to quantum quenches
of finite duration, ie, a continuous change in the transverse magnetic field over a finite time …

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 revisit here the Kibble-Zurek mechanism for superfluid bosons slowly driven across the
transition toward the Mott-insulating phase. By means of a combination of the time …

We study a quantum quench in the Bose-Hubbard model where the tunneling rate J is
suddenly switched from zero to a finite value in the Mott regime. In order to solve the many …