膨胀宇宙中粗粒量子场的纠缠
Entanglement of Coarse Grained Quantum Field in the Expanding Universe
摘要:
我们研究了膨胀宇宙中量子场的纠缠。通过引入一个使用粗粒度标量场的二体系统,应用基于部分转置操作的可分性准则,数值计算了不同空间区域之间的二体纠缠.我们发现,当两点的空间距离超过哈勃视界后,初始纠缠态变为可分离态或解纠缠态。这就为量子涨落经典性的出现提供了必要条件。我们还研究了量子场可作为经典随机变量的经典性条件。
英文摘要:
We investigate the entanglement of a quantum field in the expanding universe. By introducing a bipartite system using a coarse-grained scalar field, we apply the separability criterion based on the partial transpose operation and numerically calculate the bipartite entanglement between separate spatial regions. We find that the initial entangled state becomes separable or dis-entangled after the spatial separation of two points exceed the Hubble horizon. This provides the necessary condition for the appearance of classicality of the quantum fluctuation. We also investigate the condition of classicality that the quantum field can be treated as the classical stochastic variables.
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