Entanglement wedge reconstruction and the information paradox
Entanglement wedge reconstruction and the information paradox
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DOI：
10.1007/jhep09(2020)002
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发表时间：
2019-05
影响因子：
5.4
通讯作者：
Geoffrey Penington
中科院分区：
文献类型：
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作者：
Geoffrey Penington
当吸收边界条件被用来蒸发一个黑洞在AdS/CFT，我们表明，有一个相变的位置的量子Ryu-Takayanagi表面，正是在页面时间。新的RT面位于事件视界的内部，其下落时间大约是进入过去的加扰时间β/2πlogS BH。我们可以立即导出Page曲线，使用Ryu-Takayanagi公式，和Hayden-Preskill解码准则，使用纠缠楔重建。由于部分内部现在被编码在早期霍金辐射中，黑洞的纠缠熵的减少与晚期霍金模式的半经典体纠缠完全一致，尽管没有防火墙。
When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page time. The new RT surface lies slightly inside the event horizon, at an infalling time approximately the scrambling time β/2πlogS BH into the past. We can immediately derive the Page curve, using the Ryu-Takayanagi formula, and the Hayden-Preskill decoding criterion, using entanglement wedge reconstruction. Because part of the interior is now encoded in the early Hawking radiation, the decreasing entanglement entropy of the black hole is exactly consistent with the semiclassical bulk entanglement of the late-time Hawking modes, despite the absence of a firewall.