Quantum transport and non-linear dynamics of interacting quantized fields and applications to nanoelectronics and optoelectronics

A non-equilibrium dynamics of interacting quantized fields based on the Liouville space quantum field dynamics is outlined here. The self-consistent treatment of quantum transport given here expresses the theory in terms of renormalized propagators and renormalized many-body interactions. The quantum transport equation for the particle quantum distribution function is extracted from the general equation in real time for each particle species in a system consisting of several components. Although it is equivalent to the so-called non-equilibrium Greenʹs function theory of Schwinger and Keldysh, it has several technical advantages. We suggest a method to implement numerically the self-consistent scheme by generalizing the many-body functional methods (e.g. the density functional techniques) in condensed matter physics to highly non-equilibrium situations. Several important problems in nanoelectronics and optoelectronics where this formalism is essential are mentioned.