We examine mode entanglement and correlation of two fermionic particles analytically and numerically. We study the one- and two-mode entropies and a global characteristic, the one-body entanglement entropy considering angular momentum coupled state with a single configuration. We show that with rearrangement of the single-particle orbitals the Slater decomposition can be obtained which can also be applied for configuration mixing subject to special restriction. With the help of the Slater decomposition, we derive analytical expressions for the entanglement measures, which becomes very simple for zero total angular momentum. The Slater decomposition allows us to define associated modes, and it turns out that they have identical one- and two-mode entropies. Furthermore, we show that specific single configurations describe maximally entangled states when the total angular momentum is zero. The numerical shell model study of two valence neutrons in the sd shell is revealed that the one-body entanglement entropy of the ground state is close to the maximal value, and the associated modes have the largest mutual information.

我们通过分析和数值方法研究了两个费米离子粒子的模式纠缠和相关​​性。我们研究了一模和二模熵以及一个整体特征，其中单角纠缠熵考虑了角动量与单配置耦合状态的耦合。我们表明，通过重排单粒子轨道，可以获得Slater分解，该分解也可应用于受特殊限制的构型混合。借助Slater分解，我们得出了纠缠测度的解析表达式，对于总角动量为零，这变得非常简单。Slater分解使我们能够定义关联的模式，事实证明它们具有相同的一模和二模熵。此外，我们表明，当总角动量为零时，特定的单个配置描述了最大纠缠状态。壳层中两个价中子的数值壳模型研究。sd壳揭示了基态的单体纠缠熵接近最大值，并且相关模式具有最大的互信息。