Quantum Kinetic Equations of Many-Particle Systems in Condensed States

TL;DR

This paper develops quantum kinetic equations for many-particle systems in condensed states, accounting for initial correlations, using a one-particle density operator framework to describe their evolution.

Contribution

It introduces a method to derive quantum kinetic equations that incorporate initial correlations characteristic of condensed states.

Findings

Derivation of kinetic equations with initial correlations

Framework for describing condensed states in quantum kinetics

Application to evolution of quantum many-particle systems

Abstract

This paper is devoted to the description of the evolution of states of quantum many-particle systems within the framework of a one-particle density operator, which enables to construct the kinetic equations in scaling limits in the presence of correlations of particle states at initial time, for instance, correlations characterizing the condensed states.