  We employ the Wigner function formalism to simulate partially coherent,
dissipative electron transport in biased semiconductor superlattices. We
introduce a model collision integral with terms that describe energy
dissipation, momentum relaxation, and the decay of spatial coherences
(localization). Based on a particle-based solution to the Wigner transport
equation with the model collision integral, we simulate quantum electronic
transport at 10 K in a GaAs/AlGaAs superlattice and accurately reproduce its
current density vs field characteristics obtained in experiment.
