Kadanoff-Baym equations and non-Markovian Boltzmann equation in generalized T-matrix approximation

TL;DR

This paper derives a generalized quantum kinetic equation incorporating initial correlations, memory effects, and many-particle phenomena by extending the Kadanoff-Baym equations with a T-matrix approximation.

Contribution

It introduces a novel method to include initial binary correlations into the Kadanoff-Baym equations, leading to a comprehensive generalized T-matrix approximation.

Findings

Derived a generalized quantum kinetic equation with memory effects.

Included many-particle and spin-statistics effects in the kinetic description.

Extended Boltzmann equations to account for initial correlations and off-shell dynamics.

Abstract

A recently developed method for incorporating initial binary correlations into the Kadanoff-Baym equations (KBE) is used to derive a generalized T-matrix approximation for the self-energies. It is shown that the T-matrix obtains additional contributions arising from initial correlations. Using these results and taking the time-diagonal limit of the KBE, a generalized quantum kinetic equation in binary collision approximation is derived. This equation is a far-reaching generalization of Boltzmann-type kinetic equations: it selfconsistently includes memory effects (retardation, off-shell T-matrices) as well as many-particle effects (damping, in-medium T-Matrices) and spin-statistics effects (Pauli-blocking).