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Chinese Optics Letters

Sudden birth of entanglement between two atoms in a double JC model

杜鸣笛, Mao-Fa Fang, 刘翔 Xiang Liu

Published Jan 1, 2009• 7 citations
Publisher

Abstract

Sudden birth of entanglement between two initially separate atoms interacting with two entangled photons in a double JC model is investigated, and the influences of different atomic initial states on entanglement among atoms are discussed.The results show that sudden birth of entanglement can occur when the two atoms are initially in excited states.

DOI
10.3788/col20090705.0443

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Sudden birth of entanglement between two initially separate atoms interacting with two entangled photons in a double JC model is investigated, and the influences of different atomic initial states on entanglement among atoms are discussed.The results show that sudden birth of entanglement can occur when the two atoms are initially in excited states.
By employing the concurrence, we investigate the dynamics of entanglement between two atoms in a double two-photon Jaynes-Cummings model when the cavity field is previously in a maximally entangled state. The influence of the atomic coherence on the time evolution of the atom-atom entanglement is examined. It is shown that the phenomenon of the sudden birth of entanglement occurs, and the atomic coherence decreases the degree of the atom-atom entanglement. Moreover, it is found that a maximally entangled two-atom state can be generated.
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.
We discuss a simple model for creation of entanglement in a system composed of two two-level atoms interacting with a common environment. The role of the environment in entangling and disentangling of the atoms is explored. We demonstrate how the spontaneous decay of an initial excitation of the system can create a transient entanglement between the atoms. The opposite situation is also discussed where a spontaneous disentanglement of initially entangled atoms may exhibit some unusual features such as entanglement sudden birth, the phenomenon of entanglement sudden death and revival of entanglement. We provide a discussion of these unusual phenomena in terms of the density matrix elements of the system and show the connection of the phenomena with the threshold behaviour of the concurrence.
Considering a double two-photon JC model, we investigate the entanglement between the two two-level atoms and that between the two cavity fields, and study the effect of the Stark shift on entanglement. The results show that, on the one hand the atom–atom and cavity–cavity concurrences evolve periodically with time and the periods are affected by the Stark shift; on the other hand, the two atoms are not disentangled at any time when the Stark shift is considered, and for large values of the Stark shift parameter, the two atoms can remain in a stationary entangled state. In addition, we find that the so-called entanglement sudden death can occur under appropriate conditions on the dynamic Stark shift for a certain initial state of the system.
Using the pseudomode method, we theoretically analyze the creation of quantum correlations between two two-level dipole—dipole interacting atoms coupled with a common structured reservoir with different coupling strengths. Considering certain classes of initial separable-mixed states, we demonstrate that the sudden birth of atomic entanglement as well as the generation of stationary quantum correlations occur. Our results also suggest a possible way to control the occurrence time of entanglement sudden birth and the stationary value of quantum correlations by modifying the initial conditions of states, the dipole—dipole interaction, and the relative coupling strength. These results are helpful for the experimental engineering of entanglement and quantum correlations.