Microscopic modeling of quantum devices at high carrier densities via Lindblad-type scattering superoperators

We derive a local equation of motion for the electronic single-particle density matrix in the presence of one- as well as two-body scattering processes. This is done by applying the mean-field approximation to the many-electron dynamics obtained via a recently proposed Markov limit, able to furnish many-body Lindblad-type scattering superoperators. The resulting time evolution at finite/high carrier densities turns out to be non-linear (and therefore non-Lindblad), and to recover a Lindblad form in the low-density limit.