In this paper we consider the situation that three identical two-level atoms resonantly interact with three distant single-mode optical cavities via a one-photon hopping separately, and there exist the phenomena of atom-decay and cavity-decay. Under Jaynes-Cummings model the time evolution of the system is given. The tripartite negativity is used to quantify the degree of tripartite entanglement. The tripartite entanglement dynamics among atoms and among cavities are studied. The influences of the atom-decay and the cavity-decay on tripartite entanglement are discussed. The results obtained using the numerical method show that the tripartite entanglement among atoms and that among cavities all display damping oscillation behavior. On the other hand, as the atomic decay rate increases, their decays are accelerated, and so do they with the increase of cavity decay rate.

中文翻译：

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由三个阻尼 Jaynes-Cummings 模型组成的系统中的三重纠缠动力学

本文考虑了三个相同的二能级原子分别通过单光子跳跃与三个远距离的单模光腔共振相互作用的情况，存在原子衰变和腔衰变现象。在 Jaynes-Cummings 模型下，给出了系统的时间演化。三方负性用于量化三方纠缠的程度。研究了原子之间和空腔之间的三方纠缠动力学。讨论了原子衰变和空腔衰变对三重纠缠的影响。数值方法得到的结果表明，原子间和空穴间的三重纠缠均表现出阻尼振荡行为。另一方面，随着原子衰变率的增加，它们的衰变加速，