论文标题

fermions的量子纠缠 - 抗抗激素对创建模式

Quantum Entanglement of Fermions- Antifermions Pair Creation modes in Non-commutative Bianchi I Space-time

论文作者

Ghiti, M. F., Mebarki, N., Aissaoui, H.

论文摘要

得出了非交互性Bianchi I弯曲的时空Vierbeins和自旋连接。此外,提出了相应的非交通性狄拉克方程及其解决方案。作为使用Bogoliubov转换的量子场理论方法的应用,研究了Von Neumann fermion-Antifermion对创建量子纠缠熵。结果表明,其行为很大程度上取决于非交换性$θ$参数的值,$ k_ \ perp $ -modes频率和弯曲时空的结构。提出了有关获得的特征的各种讨论。

The non-commutative Bianchi I curved space-time vierbeins and spin connections are derived. Moreover, the corresponding non-commutative Dirac equation as well as its solutions are presented. As an application within the quantum field theory approach using Bogoliubov transformations, the von Neumann fermion-antifermion pair creation quantum entanglement entropy is studied. It is shown that its behaviour is strongly dependent on the value of the non-commutativity $θ$ parameter, $k_\perp$-modes frequencies and the structure of the curved space-time. Various discussions of the obtained features are presented.

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