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arXiv 2205.14596hep-thcond-mat.str-elgr-qc
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被辐射纠缠的黑洞

Black holes Entangled by Radiation

Yuxuan Liu, Zhuo-Yu Xian, Cheng Peng, Yi Ling

摘要:

我们构造了三个模型来描述两个永恒的黑洞被一个平坦的空间分开,并最终可以通过交换辐射纠缠的场景。在双全息系统中,我们计算了子系统之间的纠缠熵和互信息,得到了纠缠的动态相结构。两个黑洞之间纠缠的形成被辐射必须穿过的空间所延迟。最后,如果两个黑洞交换了足够的霍金模,则最终态的特征是一个连接的纠缠楔;否则,最终纠缠楔包含两个分离的岛。在前一种情况下,两个黑洞的纠缠楔在它们之间的平坦空间大小的时间尺度上形成。而在这两种情况下,演化的统一性都得到了保持。当两个黑洞的大小不相等时,我们观察到较小的黑洞与辐射之间的纠缠在后期会丢失。在场论方面,我们考虑两个耦合到Majorana链的Sachdev-Ye-Kitaev(SYK)团簇,它类似于两个由辐射区连接的黑洞。我们数值计算相同的纠缠措施,并获得类似的相结构的散装结果。在一般情况下,两个SYK集团之间的纠缠的时间延迟被发现在长的马约拉纳链的情况下。特别地,当两个SYK团簇的大小不同时,观察到较小的SYK团簇和Majorana链之间类似的纠缠损失。最后,我们研究了一个由EPR团簇组成的链模型,并再现了在其他模型中观察到的纠缠特征。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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