论文标题
部分可观测时空混沌系统的无模型预测
Black holes Entangled by Radiation
论文作者
论文摘要
我们构建了三个模型来描述两个永恒黑洞被平坦空间隔开的场景，并最终可以通过交换辐射纠缠。在双重全息设置中，我们计算子系统之间的纠缠熵和相互信息，并获得纠缠的动态相结构。两个黑洞之间的纠缠形成被辐射必须穿过的空间延迟。最后，如果两个黑洞交换足够的鹰式模式，则最终状态的特征是连接的纠缠楔。否则，最终的纠缠楔子包含两个分离的岛屿。在前一种情况下，两个黑洞的纠缠楔形在它们之间平坦空间的大小的时间尺度上形成。在这两种情况下，都保留了进化的单位性。当两个黑洞的尺寸不相等时，我们会观察到较小的黑洞与辐射之间的纠缠损失。在田间理论方面，我们考虑了两个sachdev-ye-kitaev（Syk）簇耦合到一个主要链，它们类似于两个由辐射区域连接的黑洞。我们从数值上计算相同的纠缠措施，并获得与大量结果相似的相结构。通常，在具有长长的Majorana链的情况下，发现两个SYK簇之间的纠缠时间延迟。特别是，当两个SYK簇的大小不同时，观察到较小的SYK簇和Majorana链之间的相似纠缠损失。最后，我们研究了由EPR簇组成的链模型，在相邻簇之间具有粒子交换，并重现其他模型中观察到的纠缠特征。
We construct three models to describe the scenario where two eternal black holes are separated by a flat space, and can eventually be entangled by exchanging radiations. In the doubly holographic setup, we compute the entanglement entropy and the mutual information among the subsystems and obtain the dynamic phase structure of the entanglement. The formation of entanglement between the two black holes is delayed by the space where the radiations must travel through. Finally, if the two black holes exchange sufficient Hawking modes, the final state is characterized by a connected entanglement wedge; otherwise, the final entanglement wedge contains two separated islands. In the former case, the entanglement wedge of the two black holes forms at the time scale of the size of the flat space between them. While in both cases, unitarity of the evolution is preserved. When the sizes of two black holes are not equal, we observe a loss of entanglement between the smaller black hole and the radiation at late times. In the field theory side, we consider two Sachdev-Ye-Kitaev (SYK) clusters coupled to a Majorana chain, which resemble two black holes connected by a radiation region. We numerically compute the same entanglement measures, and obtain similar phase structures as the bulk results. In general, a time delay of the entanglement between the two SYK clusters is found in cases with a long Majorana chain. In particular, when the two SYK clusters are different in size, similar entanglement loss between the smaller SYK cluster and the Majorana chain is observed. Finally, we investigate a chain model composed of EPR clusters with particle exchanges between neighboring clusters, and reproduce the features of entanglement observed in the other models.
