  We propose a description of nonequilibrium systems via a simple protocol that
combines exchange-correlation potentials from density functional theory with
self-energies of many-body perturbation theory. The approach, aimed to avoid
double counting of interactions, is tested against exact results in
Hubbard-type systems, with respect to interaction strength, perturbation speed
and inhomogeneity, and system dimensionality and size. In many regimes, we find
significant improvement over adiabatic time dependent density functional theory
or second Born nonequilibrium Green's function approximations. We briefly
discuss the reasons for the residual discrepancies, and directions for future
work.
