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arXiv 1407.7851quant-ph
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含参量下转换的运动三能级原子与双模耦合相互作用系统的纠缠动力学

Dynamics of entanglement of a three-level atom in motion interacting with two coupled modes including parametric down conversion

M. J. Faghihi, M. K. Tavassoly, M. Hatami

备注：
12 pages. arXiv admin note: text overlap with arXiv:1407.7716, arXiv:1407.7690
发表信息：
Physica A 407 (2014) 100
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摘要：

本文研究了双色腔中同时注入的双模光场与运动三能级原子的相互作用，假定三能级原子为$Λ$型。结果，将出现原子与光场以及光场与光场的相互作用（参量下转换）。结果表明，通过应用正则变换，引入的模型可以减少到一个众所周知的形式的广义Jaynes-Cummings模型。在为原子和光场准备的特定初始条件下，解析地计算了整个系统的态矢量随时间的演化。然后，考虑原子布居数反转和两种不同的纠缠度量，详细讨论了“冯诺伊曼熵”和“幂等亏损”。数值结果表明，通过选择合适的场模结构参数$p$和失谐量，可以对所考虑的物理量的持续时间和最大数量进行适当的调节。

英文摘要：

In this paper, a model by which we study the interaction between a motional three-level atom and two-mode field injected simultaneously in a bichromatic cavity is considered; the three-level atom is assumed to be in a $Λ$-type configuration. As a result, the atom-field and the field-field interaction (parametric down conversion) will be appeared. It is shown that, by applying a canonical transformation, the introduced model can be reduced to a well-known form of the generalized Jaynes-Cummings model. Under particular initial conditions, which may be prepared for the atom and the field, the time evolution of state vector of the entire system is analytically evaluated. Then, the dynamics of atom by considering `atomic population inversion' and two different measures of entanglement, i.e., `von Neumann entropy' and `idempotency defect' is discussed, in detail. It is deduced from the numerical results that, the duration and the maximum amount of the considered physical quantities can be suitably tuned by selecting the proper field-mode structure parameter $p$ and the detuning parameters.

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