具有非简并双光子跃迁、Kerr非线性和双模Stark位移的双原子非线性JCM的纠缠分析
Entanglement analysis of two-atom nonlinear JCM with nondegenerate two-photon transition, Kerr nonlinearity and two-mode Stark shift
摘要：
纠缠态是量子信息处理的重要工具，在腔量子电动力学中，光与物质相互作用可以产生纠缠态。本文研究了在失谐量和Stark效应存在的情况下，在Kerr非线性介质中，两个二能级原子与双模光场的相互作用。假设原子与光场的耦合和克尔介质的三阶极化率依赖于光的强度。为了研究引入系统的动力学，我们得到了所考虑的原子-场系统的状态矢量的精确解析形式，其初始条件可以为原子（在其基态和上态的相干叠加中）和场（在标准相干态中）准备。然后，为了评价子系统之间的纠缠度，我们利用von Neumann约化熵、形成纠缠和负性等著名的判据研究了纠缠的动力学性质。最后，详细分析了斯塔克位移、变形克尔介质、强度相关耦合以及失谐量对上述测量的影响。数值结果表明，不同子系统之间的纠缠量可以通过选择适当的演化参数来控制。
英文摘要：
Entangled state, as an essential tool in quantum information processing, may be generated through the interaction between light and matter in cavity quantum electrodynamics. In this paper, we study the interaction between two two-level atoms and a two-mode field in an optical cavity enclosed by a medium with Kerr nonlinearity in the presence of detuning parameter and Stark effect. It is assumed that atom-field coupling and third-order susceptibility of the Kerr medium depend on the intensity of light. In order to investigate the dynamics of the introduced system, we obtain the exact analytical form of the state vector of the considered atom-field system under initial conditions which may be prepared for the atoms (in a coherent superposition of their ground and upper states) and the fields (in standard coherent state). Then, in order to evaluate the degree of entanglement between subsystems, we investigate the dynamics of entanglement through the well-known criteria such as von Neumann reduced entropy, entanglement of formation and negativity. Finally, we analyze the influences of Stark shift, deformed Kerr medium, intensity-dependent coupling and also detuning parameter on the above-mentioned measures, in detail. Numerical results show that the amount of entanglement between different subsystems can be controlled by choosing the evolved parameters, appropriately.
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