Table of Contents
ISRN Mathematical Physics
Volume 2014, Article ID 264956, 19 pages
http://dx.doi.org/10.1155/2014/264956
Research Article

Entanglement Dynamics of Second Quantized Quantum Fields

NanoScience Technology Center, Department of Physics, University of Central Florida, Orlando, FL 32826, USA

Received 26 November 2013; Accepted 16 December 2013; Published 28 January 2014

Academic Editors: B. Bagchi, G. Berginc, and M. Sebawe Abdalla

Copyright © 2014 Mikhail Erementchouk and Michael N. Leuenberger. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the entanglement dynamics in the system of coupled boson fields. We demonstrate that there are different natural notions of locality in this context leading to inequivalent notions of entanglement. We concentrate on the particle picture, when entanglement of one particle is determined by one-particle density matrix. We study, in detail, the effect of interaction preserving populations of individual one-particle states. We show that if the system is initially in a disentangled state with the definite total number of particles and the dimension of the one-particle Hilbert space is more than two, then only potentials of the special form admit complete entanglement, which is shown to be reached at NOON states. If the system is initially in Glauber’s coherent state, complete entanglement is not reached despite the presence of two entangling channels in this case. We conclude with studying the time evolution of entanglement of photons in a cavity with multiple quantum dots in the limit of large number of photons. We show that in a relatively short time scale the completely entangled states belong to the class of graph states and are formed due to the interaction with dots in resonance with the cavity modes.