In this paper, we discuss four measures for the quantum and classical correlations of two atoms in a system of two entangled atoms interacting with the Polya field state. In five different initial states of the two atoms, we compare and analyze the influence of the atomic and optical field parameters on the time evolution of the quantum correlation and the classical correlation between two entangled atoms in the considered system. The results show that though the atomic state is initially in a separate one, the time evolution of geometrical quantum discord (GQD), concurrence (C), quantum discord (QD) can still exhibit non zero quantum correlation behavior. The results also show that the time evolution of the three measures of quantum correlation has obvious consistency but the time evolution of classical correlation (CC) is different from that of quantum correlation in the mentioned cases. In addition, the two atoms always remain in the maximum entangled state during the evolution as the two atoms are initially in a maximum entangled state $\left |{\varPsi }_{4}\right \rangle $ .

中文翻译：

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两个纠缠原子与 Pólya 状态场相互作用的系统中的不同相关性

在本文中，我们讨论了在两个纠缠原子与波利亚场态相互作用的系统中两个原子的量子和经典相关性的四种度量。在两个原子的五种不同初始状态下，我们比较和分析了原子和光场参数对所考虑系统中两个纠缠原子之间的量子相关性和经典相关性时间演化的影响。结果表明，虽然原子态最初处于一个单独的状态，但几何量子不和谐（GQD）、并发（C）、量子不和谐（QD）的时间演化仍然可以表现出非零量子相关行为。结果还表明，三种量子相关度量的时间演化具有明显的一致性，但经典相关（CC）的时间演化与上述情况下的量子相关的时间演化不同。此外，两个原子在演化过程中始终保持最大纠缠态，因为两个原子最初处于最大纠缠态 $\left |{\varPsi }_{4}\right \rangle $ 。