Quantum Foundations and Open Quantum Systems: Lecture Notes of the Advanced School

0440815 - FZÚ 2015 RIV SG eng M - Monography Chapter
Špička, Václav - Velický, Bedřich - Kalvová, Anděla
Electron systems out of equilibrium: nonequilibrium Green's function approach.
Quantum Foundations and Open Quantum Systems: Lecture Notes of the Advanced School. Singapore: World Scientific, 2014 - (Nieuwenhuizen, T.; Pombo, C.; Furtado, C.; Khrennikov, A.; Pedrosa, I.; Špička, V.), s. 83-192. Lecture Notes of the Advanced School. ISBN 9789814616720
R&D Projects: GA ČR GAP204/12/0897
Institutional support: RVO:68378271
Keywords : nonequilibrium statistical physics * transients * quantum transport theory
Subject RIV: BM - Solid Matter Physics ; Magnetism

This review deals with the state of the art and perspectives of description of nonequi-librium many-body systems using the nonequilibrium Green’s function (NGF) method. The basic aim is to describe time evolution of the many-body system from its initial state over its transient dynamics to its long time asymptotic evolution. First, we discuss basic aims of transport theories to motivate the introduction of the NGF techniques. Second, this article summarizes the present view on construction of the electron transport equations formulated within the NGF approach to nonequilibrium. We discuss incorporation of complex initial conditions to the NGF formalism, and the NGF reconstruction theorem, which serves as a tool to derive simplified kinetic equations. Three stages of evolution of the nonequilibrium, the first described by the full NGF description,the second by a non-Markovian generalized master equation and the third by a Markovianmaster equation will be related to each other.
Permanent Link: http://hdl.handle.net/11104/0243922