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Acta Physica Polonica A

Tunable Entanglement Sudden Death and Birth in Cavity QED with Nonlinear Kerr-Like Medium

Qi-Liang He, Jing‐Bo Xu

Published Sep 1, 2011• 0 citations
Publisher

Abstract

The influence of nonlinear Kerr-like medium on the phenomenon of entanglement sudden death and birth in a double Jaynes-Cummings model is investigated.It is shown that the entanglement sudden death and birth phenomenon may appear in this system and the duration of entanglement sudden death and birth can be controlled by the nonlinear Kerr-like medium.Particularly, the phenomenon of entanglement sudden death and birth disappears one after another if we increase the value of the Kerr coefficient χ continuously, and all disappears if the value of the Kerr coefficient χ is large enough.

DOI
10.12693/aphyspola.120.390

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The influence of nonlinear Kerr-like medium on the phenomenon of entanglement sudden death and birth in a double Jaynes-Cummings model is investigated.It is shown that the entanglement sudden death and birth phenomenon may appear in this system and the duration of entanglement sudden death and birth can be controlled by the nonlinear Kerr-like medium.Particularly, the phenomenon of entanglement sudden death and birth disappears one after another if we increase the value of the Kerr coefficient χ continuously, and all disappears if the value of the Kerr coefficient χ is large enough.
In this paper, the entanglement dynamics of a double two-photon Jaynes–Cummings model with Kerr-like medium is investigated. It is shown that initial entanglement has an interesting subsequent time evolution, including the so-called entanglement sudden death effect. It is also shown analytically that the Kerr-like medium can repress entanglement sudden death and enhance the degree of atom-atom entanglement. A more interesting fact is that the Kerr effect is more obvious when each of the two cavities with have the Kerr-like medium than only one of them with the Kerr-like medium.
The atomic entanglement dynamics is studied in the double Jaynes-Cummings model composed of two coupled cavities.Effect of the cavity-cavity coupling constant A and the atomic initial states on entanglement sudden death(ESD) and entanglement sudden birth(ESB) is analysed.By studying the atomic concurrence,it was shown that when the atomic initial states are the first kind Bell-like states,ESD and ESB doesn't appear,coupling of the cavities can increase the atomic entanglement and entanglement occurs even the initial states are disentangled.When the atomic initial states are the second kind Bell-like states,the time intervals between the ESD and ESB,and whether the ESD occurs or not are controlled by the coupling constant A.The atomic entanglement can't be produced by the coupling between the cavities when the atomic initial states are disentangled and in the second kind Bell-like states.
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.
In this paper, the entanglement dynamics of two two-level atoms trapped in coupled cavities with a Kerr medium is investigated. We find that the phenomena of entanglement sudden death (ESD) and entanglement sudden birth (ESB) appear during the evolution process. The influences of initial atomic states, Kerr medium, and cavity—cavity hopping rate on the atom—atom entanglement are discussed. The results obtained by the numerical method show that the atom—atom entanglement is strengthened and even prevented from ESD with increasing cavity—cavity hopping rate and Kerr nonlinearity.
In this paper, we have investigated the entanglement dynamics between two identical two-level atoms in the framework of two-photon double Jaynes-Cummings model taking into account the detuning between atoms and twice cavities frequencies and Kerr nonlinearities in both cavities. We have carried out the temporal dependence of the atom-atom negativity for Bell’s initial entangled atomic states. The results show that these parameters have great impact on the amplitudes of the atom-atom entanglement oscillations and that presence of detuning and Kerr nonlinearity lead to stabilization of entanglement for all Bell-types initial atomic states. For a certain initial atomic entangled states, there is an entanglement sudden death effect between the two atoms. The detuning and Kerr medium in the cavities can prevent the undesirable entanglement sudden death from occurring.