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We apply the recently proposed quasi-classical approach for a secondquantized many-electron Hamiltonian in Cartesian coordinates [J. Chem. Phys.137, 154107 (2012)] to correlated nonequilibrium quantum transport. Theapproach provides accurate results for the resonant level model for a widerange of temperatures, bias and gate voltages, correcting for the flaws of ourrecently proposed mapping using action-angle variables. When electron-electroninteractions are included, higher order schemes are required to map thetwo-electron integrals, leading to semi-quantitative results for the Andersonimpurity model. In particular, we show that the current mapping is capable ofcapturing qualitatively the Coulomb blockade effect.

A Cartesian Quasi-classical Model to Nonequilibrium Quantum Transport: The Anderson Impurity Model