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Journal of Shanghai University (English Edition)

Entanglement of atoms in Tavis-Cummings model

董传华, 张亚利

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

纠纷被用来测量在分开的分系统之间的关联, von Neumann 熵被用来在和处于协调状态准备的领域的在原子之间的相互作用的过程学习原子的纠纷的进化。纠纷上的地紧张和 detuning 的效果被调查。纠纷与增加领域紧张在它的进化,他们的振幅和吝啬的价值减少展出了摆动,这被显示出。有 detuning 的摆动频率增加,而是最大的价值几乎独立于 detuning。关键词纠纷 - 纠缠的状态 - Jaynes-Cummings 模型 PACS2001 42.50 .-P

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纠纷被用来测量在分开的分系统之间的关联, von Neumann 熵被用来在和处于协调状态准备的领域的在原子之间的相互作用的过程学习原子的纠纷的进化。纠纷上的地紧张和 detuning 的效果被调查。纠纷与增加领域紧张在它的进化,他们的振幅和吝啬的价值减少展出了摆动,这被显示出。有 detuning 的摆动频率增加,而是最大的价值几乎独立于 detuning。关键词纠纷 - 纠缠的状态 - Jaynes-Cummings 模型 PACS2001 42.50 .-P
用 multipohton Tavis-Cummings 模型,在贝尔联合二水平的原子说与一块单个模式的真空地交往的二的纠纷进化被使用否定性调查。在二的纠纷进化上联合在原子,原子起始的状态和转变的光子数字之间的常数联合二水平的原子的影响被讨论。用二个原子的纠纷与联合在原子,原子起始的状态和光子之间的常数是相关的数字方法表演获得的结果转变数。当起始的状态是 11 时,二原子的纠纷状态将永远呆在最大的纠纷状态。当二个原子的起始的状态是 01 时,二个原子的纠纷显示周期的摆动行为。并且它有联合在原子或光子之间的常数增加的摆动时期减少转变数。在另一方面,当起始的状态是 00 或 10 时,二个原子的纠纷与联合在原子或转变的光子数字之间的常数增加显示 quasiperiodic 摆动行为和它的摆动时期减少。
The linear entropy, the von Neumann entropy and the atomic Wehrl entropy are frequently used to quantify entanglement in the quantum systems. These relations provide typical information on the entanglement in the Jaynes-Cummings model (JCM). In this Letter, we explain the origin of this analytically and derive a closed form for the atomic Wehrl entropy. Moreover, we show that it is more convenient to use the Bloch sphere radius for quantifying entanglement in the JCM instead of these entropic relations.
我们为二纠缠的原子 A 和 B 局部地与独立的洞交往的一个双 Jaynes-Cummings 模型学习纠纷动力学 and b,分别地但是在地点 Aa 和 Bb 之间没有相互作用。我们指出那在那里存在在的一个参数范围同时的 pairwise 纠纷为遥远的聚会的突然的死亡(ESD ) ,即 AB, ab, Ab 和 Ba,可以发生。我们证明在这个同时的 ESD 时期期间,各种各样的多国参加的纠纷能被创造。我们的结果暗示在二个独立地点之间的 pairwise 纠纷可以被变成说明在二个独立地点之间的关联的另外的多国参加的形式。
We study the entanglement in a system consisting of two non-interacting atoms located in separate cavities, both in their ground states. A single incoming photon has a non-zero probability of entering either of the two cavities. The Jaynes-Cummings interaction in the rotating wave approximation describes the coupling of each atom with the radiation field. We compute and analyze the atom-atom entanglement, the entanglement between the two photon modes, and also the entanglement between each atom and each photon mode. The measure of entanglement is the von Neumann entropy. For the case in which the two atom-photon systems have identical properties, but allowing for non-resonant conditions, the sum of the atom-atom and photon-modes-entanglement is time independent. The effect of detuning is to decrease the strength of the largest entanglement achieved and to shorten the time for it to occur. The results support the fact that the state of the photons after emergence from cavities is entangled, notwithstanding its single-particle nature. In addition, for the case of resonance and identical cavity parameters, we demonstrate that von Neumann entropy is always greater than or equal to the measure of entanglement known as negativity.