  Transport properties of strongly correlated quantum systems are of central
interest in condensed matter, ultracold atoms and in dense plasmas. There, the
proper treatment of strong correlations poses a great challenge to theory.
Here, we apply a Nonequilibrium Green Functions approach using a lattice model
as a basic system. This allow us to treat a finite spatially inhomogeneous
system with an arbitrary nonequilibrium initial state. Placing all particles
initially to one side of the system allows for a nonequilibrium study of
diffusion. Strong correlation effects are incorporated via T-matrix
selfenergies.
