This article presents an overview on recent progress in the theory of nonequilibrium Green
functions (NEGF). We discuss applications of NEGF simulations to describe the femtosecond …

The nonequilibrium dynamics of strongly-correlated fermions in lattice systems have
attracted considerable interest in the condensed matter and ultracold atomic-gas …

We investigate the entanglement spreading in the anisotropic spin-1/2 Heisenberg (XXZ)
chain after a geometric quench. This corresponds to a sudden change of the geometry of the …

We investigate the expansion of bosons and fermions in a homogeneous lattice after a
sudden removal of the trapping potential using exact numerical methods. As a main result …

Several recent advancements for the hierarchical equations of motion (HEOM) approach are
reported. First, we propose an a priori estimate for the optimal number of basis functions for …

Finite lattice models are a prototype for interacting quantum systems and capture essential
properties of condensed matter systems. With the dramatic progress in ultracold atoms in …

We consider a method of high-fidelity, spatially resolved position measurement of ultracold
atoms in an optical lattice. We show that the atom-number distribution can be …

The expansion dynamics of bosonic gases in optical lattices has recently been the focus of
increasing attention, both experimental and theoretical. We consider, by means of numerical …

At present, great effort is spent on the experimental realization of gauge fields for quantum
many-body systems in optical lattices. At the same time, the single-site-resolved detection of …

Using the time-dependent density matrix renormalization-group method and exact
diagonalization, we study the nonequilibrium dynamics of the one-dimensional Fermi …