Resolving Inconsistencies between Discretizations for the Density Operator and the Wigner Function

This paper presents a comparison between two transport models used for quantum transport simulations, namely the conventional Wigner equation and a derived Wigner equation based on a two staggered grid formalism. The latter defines the Wigner function on two different grids, offset from each other. First results show that the two staggered grid formalism offers advantages over the conventional Wigner equation, particularly in terms of higher accuracy and in resolving the inconsistency, which is imposed by the correlation between the domains of the Wigner function and the density matrix.