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理论物理通讯：英文版

Dynamic Behavior of Entanglement Between Two Spatially Separated Atoms in Two Dissipative and Driven Cavity Fields

Cui, Huiping, LI ., Jian JIAN, Liu ., Jin, Jun-Gang

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

= 被准备(| 例如 | ge )/√2。我们在在二个原子之间的纠纷上调查抑制经常的 κ ，外部来源 F 的紧张，和原子政变石楠 r 的相对差别的影响。在散近似，我们发现在二个原子之间的纠纷与时间进化减少，并且纠纷的减少的率取决于 F/κ ， κ/ω ，和 r 的价值。为 F/κ 和 κ/ω 的给定的小值，在一方面，增加 r 赞成在另一方面，原子系统减少的纠纷什么时候 r → 1 减少的纠纷变得更慢。与增加 κ/ω 的价值，纠纷的 r on the decreasing 率的影响变得更小，并且逐渐地为 κ/ω 的大价值消失。

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= 被准备(| 例如 | ge )/√2。我们在在二个原子之间的纠纷上调查抑制经常的 κ ，外部来源 F 的紧张，和原子政变石楠 r 的相对差别的影响。在散近似，我们发现在二个原子之间的纠纷与时间进化减少，并且纠纷的减少的率取决于 F/κ ， κ/ω ，和 r 的价值。为 F/κ 和 κ/ω 的给定的小值，在一方面，增加 r 赞成在另一方面，原子系统减少的纠纷什么时候 r → 1 减少的纠纷变得更慢。与增加 κ/ω 的价值，纠纷的 r on the decreasing 率的影响变得更小，并且逐渐地为 κ/ω 的大价值消失。
当由协调的地驾驶的二个相同证完洞位于一致环境时，除了驱散，出现在二个洞之间的间接联合由背景地导致了。我们调查协调的地，驱散以及在系统的下列动态性质上的支离破碎的联合的效果：光子转移，可逆 decoherence，和量状态转，等等。我们发现在洞的光子不由于在洞和 enviroment 之间的集体联合完全漏进环境，并且光子由于支离破碎的联合与更少的与更多的光子从洞不可逆转地被转移到洞以便快在二个洞之中同等地分布式。协调删除在二个洞上抽增加吝啬的光子，补充可逆 decoherence 的复兴的大小，但是妨碍在二个洞之间的量状态转移。上述现象可以在量通讯和另外的基本的域发现应用。
We consider two two-level atoms, interacting with two independent dissipative cavities, each of which is driven by an external source. The two cavity fields are both initially prepared in the coherent states, and the two two-level atoms are initially prepared in the singlet state |Ψ − ⟩ = (|eg⟩ – |ge⟩)/√2. We investigate the influence of the damping constant κ, the intensity of the external sources F, and the relative difference of the atomic couplings r on the entanglement between the two atoms. In the dispersive approximation, we find that the entanglement between the two atoms decreases with the time evolution, and the decreasing rate of entanglement depends on the values of F/κ, κ/ω, and r. For the given small values of F/κ and κ/ω, on the one hand, the increasing of r favors entanglement decreasing of the atomic system, on the other hand, when r → 1 the entanglement decreasing becomes slower. With the increasing of the value of κ/ω, the influence of r on the decreasing rate of entanglement becomes smaller, and gradually disappears for the big value of κ/ω.
We consider two two-level atoms, which are located in two independent dissipative cavities. The two atoms are initially prepared in the singlet state. We investigate the influence of dissipation on the entanglement between the two atoms. In the case of resonance the degree of the entanglement can fall abruptly to zero, which is the so-called sudden death of entanglement. It is noted that when two atoms are in a common environment, the singlet state is a decoherence-free state. When the dispersive limit is fulfilled, the degree of entanglement between the two atoms is oscillating at first, then it arrives at a steady value, which increases with the increase of the damping constant κ; when both fields are initially in the vacuum state, the entanglement between the two atoms will not decay.
The emission spectrum of a two-level atom interacting dispersively with a single mode radiation field in the dissipative cavity is investigated. A general expression for the emission spectrum is derived. The numerical results for the initial field in coherent state are calculated. It is found that the spectrum structure is influenced significantly by the cavity damping constant κ, and the spectrum structure is dependent on the interaction time T when the cavity dissipation is present. Only one peak located at ω a appears in the atomic spectra for larger T.