论文标题

两核系统中的纠缠和相关​​性

Entanglement and correlation in two-nucleon systems

论文作者

Kruppa, A T, Kovács, J, Salamon, P, Legeza, Ö

论文摘要

我们检查了两个费米子颗粒的模式纠缠和相关​​性。我们研究一体和两种模式的熵和全球特征,即单身纠缠熵。我们不仅考虑具有单个配置的角动量耦合状态,还使用配置交互方法。借助Slater分解,我们得出了纠缠措施的分析表达式。我们表明,当总角动量为零时,特定的单构型描述了最大纠缠状态。事实证明,对于有限数量的相关模式,单模式和两模式的熵具有相同的值。在Shell Model框架中,我们在$ SD $ Shell中数字研究了两个价中子。基态的一身纠缠熵接近最大值,相关模式具有最大的互信息。

We examine the mode entanglement and correlation of two fermionic particles. We study the one- and two-mode entropy and a global characteristic, the one-body entanglement entropy. We consider not only angular momentum coupled states with single configuration but use the configuration interaction method. With the help of the Slater decomposition, we derive analytical expressions for the entanglement measures. We show that when the total angular momentum is zero specific single configurations describe maximally entangled states. It turns out that for a finite number of associated modes the one- and two-mode entropies have identical values. In the shell model framework, we numerically study two valence neutrons in the $sd$ shell. The one-body entanglement entropy of the ground state is close to the maximal value and the associated modes have the largest mutual information.

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