论文标题
辐射，纠缠和来自边界的岛屿的岛屿
Radiation, entanglement and islands from a boundary local quench
论文作者
论文摘要
我们研究边界综合场理论中局部淬火后发出的辐射的纠缠和能量密度。我们使用操作员产品扩展（OPE）来预测纠缠熵的早期和晚期行为，并在轻微的假设下发现了前术语的通用形式，我们在某些可治疗的二维示例中测试了这一点。我们还在纠缠上得出了一般的上限，沿全职演变有效。在二维中，通过分析计算结合，而在较高的维度中，它通过OPE在早期和晚期进行评估。然后将这些CFT预测与双重全外的设置进行了比较，其中CFT被解释为在世界末日勃雷河上产生的辐射的储层。在找到边界局部淬火的重力双重二元后，我们计算了全息纠缠熵的时间演变，其延迟时间行为与CFT预测完全一致。在Brane+Bath图片中，由于一个岛的形成，时间演变得以保留。可以从岛公式中明确回收全息结果，而易变的brane张力接近最大值。
We study the entanglement and the energy density of the radiation emitted after a local quench in a boundary conformal field theory. We use the operator product expansion (OPE) to predict the early- and late-time behavior of the entanglement entropy and we find, under mild assumptions, a universal form for the leading term, which we test on some treatable two-dimensional examples. We also derive a general upper bound on the entanglement, valid along the full time evolution. In two dimensions, the bound is computed analytically, while in higher dimensions it is evaluated at early and late time via the OPE. These CFT predictions are then compared with a doubly-holographic setup where the CFT is interpreted as a reservoir for the radiation produced on an end-of-the-world brane. After finding the gravitational dual of a boundary local quench, we compute the time evolution of the holographic entanglement entropy, whose late-time behavior is in perfect agreement with the CFT predictions. In the brane+bath picture, unitarity of the time evolution is preserved thanks to the formation of an island. The holographic results can be recovered explicitly from the island formula, in the limit where the tension of the brane is close to the maximal value.
