Short-time kinetics and initial correlations in nonideal quantum systems

Abstract

There are many reasons to consider quantum kinetic equations describing the evolution of a many-particle system on ultrashort time scales, e. g. correct energy conservation in nonideal plasmas, buildup of correlations (bound states), and kinetics of ultrafast processes in short-pulse laser plasmas.We present a quantum kinetic theory including initial correlations and being valid on arbitrary time scales. Various examples of short-time relaxation processes, such as relaxation of the distribution function and the energy, are shown. Furthermore, gradient expansions of the general equations and the role of bound states are discussed.

Electron systems out of equilibrium: Nonequilibrium Green's function approach

“…The ways of incorporating complex initial conditions in the NGF methods are already known in several variants. 92,102,110,118,125,129,131,154,167,168,171,[193][194][195][196][197][198][199][200][201][202][203][204][205][206][207][208][209][210] We will discuss various approaches to initial conditions in Sec. 4.…”

“…A fully self-consistent approach based on the functional derivative method has been developed and partly applied with success. 197,201,207,208 A parallel treatment is the very basic procedure employing the perturbation expansion. Fig.…”

Different forms of the Kadanoff–Baym equations in quantum statistical mechanics

“…It should be emphasized that the development of this method involves computational approach [5]. Special attention was devoted to further mathematical development of the KB method: the investigation of short-time kinetics and initial correlation in non-ideal quantum systems [6], Ward identity for nonequilibrium Fermi systems [7], solving the KB equations for inhomogeneous systems with application to atoms and molecules [8], derivation of the Landau-Silin kinetic equations for the neutral Fermi liquid [1] and electron liquid of normal metals [9][10][11], investigation of the mathematical properties of the spectral function for oneparticle states [10,12], investigation of electrical conductivity in disordered metal alloys [13].…”