Entanglement between two disjoint universes
Entanglement between two disjoint universes
复制标题
DOI：
10.1007/jhep02(2021)136
复制
发表时间：
2020-08
影响因子：
5.4
通讯作者：
V. Balasubramanian;Arjun Kar;Tomonori Ugajin
中科院分区：
文献类型：
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作者：
V. Balasubramanian;Arjun Kar;Tomonori Ugajin
利用复制方法计算了无引力宇宙与不相交引力宇宙纠缠在类热场偶态中的纠缠熵。在后者的复制品之间包括虫洞给出了一个熵泛函，其中包括引力宇宙上的“岛屿”。当宇宙学常数为负时，我们求解反反应方程，以表明这个岛与引力几何中纠缠所产生的因果阴影区域相吻合。在高纠缠温度下，岛对熵泛函的贡献导致纠缠熵的束缚，类似于蒸发黑洞的佩奇行为。我们证明了非引力宇宙的纠缠楔随着纠缠温度的增加而增长，直到最终，引力宇宙可以完全从非引力宇宙重建。
We use the replica method to compute the entanglement entropy of a universe without gravity entangled in a thermofield-double-like state with a disjoint gravitating universe. Including wormholes between replicas of the latter gives an entropy functional which includes an “island” on the gravitating universe. We solve the back-reaction equations when the cosmological constant is negative to show that this island coincides with a causal shadow region that is created by the entanglement in the gravitating geometry. At high entanglement temperatures, the island contribution to the entropy functional leads to a bound on entanglement entropy, analogous to the Page behavior of evaporating black holes. We demonstrate that the entanglement wedge of the non-gravitating universe grows with the entanglement temperature until, eventually, the gravitating universe can be entirely reconstructed from the non-gravitating one.