Steady-state non-equilibrium transport in non-Hermitian open quantum nanostructures



We present two classic case studies of non-equilibrium transport from the mesoscopics literature, – a single-channel tunneling junction and a tunneling junction with an embedded resonant level –, that we generalized to the non-Hermitian case. We use these problems to illustrate the characteristics of the non-linear transport due to the asymmetric dynamics inherent of the non-Hermitian problem. We employ a generalized time-loop Green's function formalism that was developed explicitly to define and deal with these problems, and that constitutes a powerful and general tool for this type of studies. We point out important differences with the standard Hermitian case.