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arXiv 2008.07994hep-thgr-qc
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纯粹的德西特空间和岛屿在时间上倒退

Pure de Sitter space and the island moving back in time

Watse Sybesma

摘要:

德西特空间中的观测者只能到达他们的宇宙视界。假设热平衡,我们使用量子Ryu-Takayanagi或岛屿公式来计算宇宙视界内的状态和外部状态之间的纠缠熵,作为时间的函数。我们得到一个页面曲线,是绑定在一个值对应的Gibbons-Hawking熵。在这个转变过程中,一个“岛”形成了,与考虑黑洞视界时相比,它处于一个明显不同的位置,甚至可以及时返回。这些差异被证明是必不可少的不违反无克隆定理结合纠缠楔重建。这种考虑还引入了对扰频时间的需要,其熵依赖性与对黑洞的期望一致。我们所采用的模型有纯三维德西特空间作为解决方案。为了考虑半经典效应,我们在维度上减少到两个维度。尽管如此,我们预计该岛的上述质量特征将在更高的维度上持续存在。

英文摘要:

Observers in de Sitter space can only access the space up to their cosmological horizon. Assuming thermal equilibrium, we use the quantum Ryu-Takayanagi or island formula to compute the entanglement entropy between the states inside the cosmological horizon and states outside, as a function of time. We obtain a Page curve that is bound at a value corresponding to the Gibbons-Hawking entropy. At this transition an 'island' forms, which is in a significantly different location as compared to when considering black hole horizons and even moves back in time. These differences turn out to be essential for non-violation of the no-cloning theorem in combination with entanglement wedge reconstruction. This consideration furthermore introduces the need for a scrambling time, the entropy dependence of which turns out to coincide with what is expected for black holes. The model we employ has pure three-dimensional de Sitter space as a solution. We dimensionally reduce to two dimensions in order to take into account semi-classical effects. Nevertheless, we expect the aforementioned qualitative features of the island to persist in higher dimensions.

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