Bound Entanglement in Thermalized States and Black Hole Radiation,Physical Review Letters

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Bound Entanglement in Thermalized States and Black Hole Radiation
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-08-04 , DOI: 10.1103/physrevlett.129.061602
Shreya Vardhan ₁ , Jonah Kudler-Flam ₂ , Hassan Shapourian ₃ , Hong Liu ₁

Affiliation

We study the mixed-state entanglement structure of chaotic quantum many-body systems at late times using the recently developed equilibrium approximation. A rich entanglement phase diagram emerges when we generalize this technique to evaluate the logarithmic negativity for various universality classes of macroscopically thermalized states. Unlike in the infinite-temperature case, when we impose energy constraints at finite temperature, the phase diagrams for the logarithmic negativity and the mutual information become distinct. In particular, we identify a regime where the negativity is extensive but the mutual information is subextensive, indicating a large amount of bound entanglement. When applied to evaporating black holes, these results imply that there is quantum entanglement within the Hawking radiation long before the Page time, although this entanglement may not be distillable into Einstein-Podolsky-Rosen pairs. We claim that at this earlier time, rather than the Page time, information about diaries thrown into the black hole first starts to leak out.

中文翻译：

热态和黑洞辐射中的束缚纠缠

我们利用最近发展的平衡近似研究了后期混沌量子多体系统的混合态纠缠结构。当我们推广这种技术来评估宏观热化状态的各种普遍性类别的对数负性时，会出现丰富的纠缠相图。与无限温度情况不同，当我们在有限温度下施加能量约束时，对数负性和互信息的相图变得不同。特别是，我们确定了一个负性广泛但互信息是次广泛的机制，表明存在大量束缚纠缠. 当应用于正在蒸发的黑洞时，这些结果意味着在佩奇时间之前很久就在霍金辐射中存在量子纠缠，尽管这种纠缠可能无法提炼成爱因斯坦-波多尔斯基-罗森对。我们声称，在这个更早的时间，而不是 Page 时间，有关被扔进黑洞的日记的信息首先开始泄漏。

更新日期：2022-08-04

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