Eur. Phys. J. Plus (2016) 131: 297
https://doi.org/10.1140/epjp/i2016-16297-9

Regular Article

Entanglement swapping to a qutrit-qutrit atomic system in the presence of Kerr medium and detuning parameter

¹ Atomic and Molecular Group, Faculty of Physics, Yazd University, 89195-741, Yazd, Iran
² Photonic Research Group, Engineering Research Center, Yazd University, 89195-741, Yazd, Iran

^* e-mail: mktavassoly@yazd.ac.ir

Received: 14 April 2016
Accepted: 28 July 2016
Published online: 6 September 2016

Abstract

In this paper we consider two independent systems, each consisting of a V-type three-level atom as a qutrit which interacts with a single-mode quantized field in the presence of a Kerr medium. The dynamics of atom-field interaction in each cavity is governed by the Jaynes-Cummings model. The analytical solution associated with each cavity is derived, showing that the atom and field in each cavity are clearly entangled. However, the two (identical) atoms have never interacted and so no entanglement between them exists. The aim of the present paper is to investigate about the possibility of entanglement swapping to a qutrit-qutrit system. We achieve the purpose with the help of the Bell state measurement (BSM) method on the field photons. In the continuation, we discuss on the influences of “Kerr medium” and “off-resonance condition” on success probability, the degree of entanglement and atomic inversion in detail and show that one can appropriately adjust these quantities by tuning the evolved parameters. The success probability of the order of 0.50 for the created qutrit-qutrit entangled state may be accessible.