Nonlinear resonant tunneling in systems coupled to quantum reservoirs
  An adiabatic approximation in terms of instantaneous resonances is developed to study the steady-state and time-dependent transport of interacting electrons in biased resonant tunneling heterostructures. The resulting model consists of quantum reservoirs coupled to regions where the system is described by nonlinear ordinary differential equations and has a general conceptual interest. 
Carlo Presilla and Johannes Sj\"ostrand