论文标题
关于原子状态纯度操作员，JC和反JC模型中的状态纯度和同意程度
On atomic state purity operator, degree of state purity and concurrence in the JC and anti-JC models
论文作者
论文摘要
降低的密度运算符描述了两分量子，Jaynes-Cummings（JC）或反Jaynes-Cummings（AJC）相互作用的原子状态。通过取还原密度算子的平方的轨迹，已经测量了状态的纯度。在本文中，我们将减少密度运算符的平方定义为状态纯度算子，由完全纯的状态部分和完全混合的状态部分组成。完全混合状态部分的系数是混合状态度量，正式获得为还原密度运算符的决定因素，因此与缠结（缠结）直接相关，这是两部分系统的并发平方。混合状态措施以各种等效形式表达，提供了状态纯度或纠缠的所有特征要素，例如降低密度操作员的特征值，非经典性度量和状态纯度复杂幅度。状态纯度复合幅度以极性形式的论点是状态纯度度量的阶段，它定义了状态的纯度。我们发现，纯度和同意的程度是满足互补关系的互补量词。
The state of an atom in a bipartite qubit, Jaynes-Cummings (JC) or anti-Jaynes-Cummings (aJC) interaction is described by a reduced density operator. The purity of the state has been measured by taking the trace of the square of the reduced density operator. In this article, we define the square of the reduced density operator as the state purity operator, composed of a completely pure state part and a completely mixed state part. The coefficient of the completely mixed state part is the mixed state measure, formally obtained as the determinant of the reduced density operator and it is therefore directly related to tangle, the square of concurrence of the bipartite system. Expressed in various equivalent forms, the mixed state measure provides all the characteristic elements of state purity or entanglement, such as eigenvalues of the reduced density operator, nonclassicality measures and a state purity complex amplitude. The argument of the state purity complex amplitude in polar form is the phase of the state purity measure, which defines the degree of purity of the state. We find that the degree of purity and concurrence are complementary quantifiers satisfying a complementarity relation.
