A Cartesian Quasi-classical Model to Nonequilibrium Quantum Transport:   The Anderson Impurity Model
  We apply the recently proposed quasi-classical approach for a second quantized many-electron Hamiltonian in Cartesian coordinates [J. Chem. Phys. 137, 154107 (2012)] to correlated nonequilibrium quantum transport. The approach provides accurate results for the resonant level model for a wide range of temperatures, bias and gate voltages, correcting for the flaws of our recently proposed mapping using action-angle variables. When electron-electron interactions are included, higher order schemes are required to map the two-electron integrals, leading to semi-quantitative results for the Anderson impurity model. In particular, we show that the current mapping is capable of capturing qualitatively the Coulomb blockade effect. 
Bin Li, Tal J. Levy, David W.H. Swenson, Eran Rabani, and William H.   Miller
cond-mat.mes-hall cond-mat.mtrl-sci physics.chem-ph