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Journal of Physics B Atomic Molecular and Optical Physics

Entanglement sudden death via two-photon processes in cavity QED

Wesley Bueno Cardoso, Ardiley Torres Avelar, B. Baseia, N. G. de Almeida

Published Sep 22, 2009• 18 citations
Publisher

Abstract

In the present work we study the entanglement dynamics between two atoms when one of them, considered as having either two or three levels, is left to interact with a single mode of a high- Q cavity through two-photon processes. Making use of the negativity, we show the necessary conditions for these systems to exhibit the sudden death phenomena.

DOI
10.1088/0953-4075/42/19/195507

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In the present work we study the entanglement dynamics between two atoms when one of them, considered as having either two or three levels, is left to interact with a single mode of a high- Q cavity through two-photon processes. Making use of the negativity, we show the necessary conditions for these systems to exhibit the sudden death phenomena.
We examine the entanglement dynamics between two strongly driven atoms off-resonantly coupled with a single-mode cavity via the two-photon process with the help of negativity in two different types of initial states. The results show that entanglement sudden death may occur under both the above conditions and the sudden death effect can be monitored by modulating the atom–cavity detunings. Furthermore, we also find an atomic decoherence-free subspace so that the initial entanglement between two atoms remains invariable in application.
The entanglement dynamics of system, where atoms A and B interact with single mode cavity fields a and b respectively, is studied. The interaction between atom A and cavity a may be described by using the typical Jaynes–Cummings model, while that between the atom B and cavity b filled with a Kerr medium is of a two-photon process. For a certain initial atom entanglement state, there is an entanglement sudden death effect between the two atoms. The Kerr medium in the cavity b can effectively prevent the undesirable entanglement sudden death from occurring. Also, from the viewpoint of the population dynamics, we discuss why the Kerr medium can do so.
We study entanglement dynamics for a six-qubit model in cavity QED, where three two-level atoms A , B and C are initially prepared in a Greenberger–Horne–Zeilinger (GHZ)-like state and locally coupled with the independent cavities a , b and c , respectively. We consider entanglement evolution via negativity for the tripartite subsystems of atoms and the corresponding cavities. By choosing two types of GHZ-like states as atomic initial states, we shall show that the entanglement of atoms may or may not exhibit entanglement sudden death (ESD) depending on the type of atomic initial state.
We investigate the entanglement dynamics of an entangled atom pair via Wootters' concurrence. Only one atom of the pair interacts with a two-mode cavity field via a Raman interaction. The number simulation shows that the entanglement of the atom pair will display sudden death and revival phenomena when the cavity photon numbers and the two-mode atom–cavity coupling strengths are changed. Due to the two-mode field effect, the entanglement sudden death phenomenon will disappear more easily by enlarging the different cavity mode–atom coupling ratio. The oscillation rate of the concurrence is enlarged by increasing the mean photon number of the cavity field.