论文标题
两个不相交宇宙之间的纠缠
Entanglement between two disjoint universes
论文作者
论文摘要
我们使用复制方法来计算没有重力的宇宙的纠缠熵,并在热场双状态状态下,具有不一致的重力宇宙。包括后者复制品之间的虫洞具有熵功能,其中包括引力宇宙上的“岛”。当宇宙常数为负时,我们解决了后反应方程,以表明该岛与引力几何形状中的纠缠产生的因果阴影区域一致。在较高的纠缠温度下,该岛对熵功能的贡献导致纠缠熵的结合,类似于蒸发黑洞的页面行为。我们证明,非磨碎宇宙的纠缠楔随纠缠温度生长,直到最终可以从非碎片的宇宙中完全重建引力的宇宙为止。
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.