Preprint Article Version 1 This version is not peer-reviewed

Evolution of Correlations of Many-Particle Quantum Systems in Condensed States

Version 1 : Received: 21 December 2018 / Approved: 24 December 2018 / Online: 24 December 2018 (15:24:11 CET)

How to cite: Gerasimenko, V. Evolution of Correlations of Many-Particle Quantum Systems in Condensed States. Preprints 2018, 2018120286 (doi: 10.20944/preprints201812.0286.v1). Gerasimenko, V. Evolution of Correlations of Many-Particle Quantum Systems in Condensed States. Preprints 2018, 2018120286 (doi: 10.20944/preprints201812.0286.v1).

Abstract

We review some new approaches to the description of the evolution of states of many-particle quantum systems by means of the correlation operators. Using the de nition of marginal correlation operators within the framework of dynamics of correlations governed by the von Neumann hierarchy, we establish that a sequence of such operators is governed by the nonlinear quantum BBGKY hierarchy. The constructed nonperturbative solution of the Cauchy problem to this hierarchy of nonlinear evolution equations describes the processes of the creation and the propagation of correlations in many-particle quantum systems. Moreover, we consider the problem of the rigorous description of collective behavior of many-particle quantum systems by means of a one-particle (marginal) correlation operator that is a solution of the generalized quantum kinetic equation with initial correlations, in particular, correlations characterizing the condensed states of systems.

Subject Areas

von Neumann hierarchy, nonlinear quantum BBGKY hierarchy, quantum kinetic equation, correlation of states, scaling limit.

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.