title: Nonequilibrium perturbation theory in Liouville-Fock space for inelastic electron transport.
abstract: We use a superoperator representation of the quantum kinetic equation to develop nonequilibrium perturbation theory for an inelastic electron current through a quantum dot. We derive a Lindblad-type kinetic equation for an embedded quantum dot (i.e. a quantum dot connected to Lindblad dissipators through a buffer zone). The kinetic equation is converted to non-Hermitian field theory in Liouville-Fock space. The general nonequilibrium many-body perturbation theory is developed and applied to the quantum dot with electron-vibronic and electron-electron interactions. Our perturbation theory becomes equivalent to a Keldysh nonequilibrium Green's function perturbative treatment provided that the buffer zone is large enough to alleviate the problems associated with approximations of the Lindblad kinetic equation.
authors.affiliation: Department of Physics, Université Libre de Bruxelles, Brussels, Belgium. adzhioev@ulb.ac.be
authors.forename: Alan A
authors.initials: AA
authors.lastname: Dzhioev
authors.forename: D S
authors.initials: DS
authors.lastname: Kosov