Replica wormholes and capacity of entanglement
Replica wormholes and capacity of entanglement
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DOI：
10.1007/jhep10(2021)227
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发表时间：
2021-05
影响因子：
5.4
通讯作者：
Kohki Kawabata;T. Nishioka;Y. Okuyama;Kento Watanabe
中科院分区：
文献类型：
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作者：
Kohki Kawabata;T. Nishioka;Y. Okuyama;Kento Watanabe
我们考虑纠缠作为大自由度共形物质耦合的二维量子引力中霍金辐射的探测器的能力。利用引力路径积分导出了计算容量的公式，并由此推测，与广义熵的连续行为相反，容量在Page时刻具有不连续性.我们应用该公式的副本虫洞解决方案在一个永恒的AdS黑洞耦合到一个平坦的非引力浴，并表明纠缠的能力是饱和的黑洞的热容量在高温极限。
We consider the capacity of entanglement as a probe of the Hawking radiation in a two-dimensional dilaton gravity coupled with conformal matter of large degrees of freedom. A formula calculating the capacity is derived using the gravitational path integral, from which we speculate that the capacity has a discontinuity at the Page time in contrast to the continuous behavior of the generalized entropy. We apply the formula to a replica wormhole solution in an eternal AdS black hole coupled to a flat non-gravitating bath and show that the capacity of entanglement is saturated by the thermal capacity of the black hole in the high temperature limit.