论文标题
纠缠和岛屿的单位性在两边的Janus黑洞
Unitarity of Entanglement and Islands in Two-Sided Janus Black Holes
论文作者
论文摘要
我们探索了永恒的janus黑洞中边界间隔的纠缠演变，这些孔可以始终嵌入在低能量极限中的弦理论中。通过研究大地测量学，我们表明，在页面时间周围的纠缠特征有一个过渡，这表明了进化的单位性。我们从两个不同的低维视角重现并重新解释了这些大量的结果：首先是通常的ADS/CFT对应关系中的界面CFT，其次是一个有效的重力理论，在一个下层耦合到辐射背景。在界面界面数量变得较大的极限中，我们就适当的麸皮获得了一个有效的理论，该理论取代了散装中的深内部区域，从而创造了阴影区域。在这个有效的理论中，我们还确定了辐射纠缠楔的岛屿，并验证新提出的量子极端方法。我们的模型阐明，在两个较高维度上具有重力的双重全息图可以以一种混凝土和一致的方式实现，并且在一个较高维度中，岛屿的发生是自然的。此外，我们的模型表明，页面时间之前的页面曲线可能存在过渡行为，这与麸皮上新的自由度的出现有关。
We explore the entanglement evolution of boundary intervals in eternal Janus black holes that can be embedded consistently into string theory in the low-energy limit. By studying the geodesics we show that there is a transition in the entanglement characteristic around the Page time, which manifests the unitarity of the evolution. We reproduce and reinterpret these bulk results from two different lower-dimensional perspectives: first as an interface CFT in the usual AdS/CFT correspondence and second as an effective gravity theory in one lower dimension coupled to a radiation background. In the limit where the number of interface degrees of freedom becomes large, we obtain an effective theory on appropriate branes that replace the deep interior region in the bulk, coined the shadow region. In this effective theory, we also identify the island of the radiation entanglement wedge and verify the newly proposed quantum extremization method. Our model clarifies that double holography with gravity in two higher dimensions can be realized in a concrete and consistent way and that the occurrence of islands is natural in one higher dimension. Furthermore, our model reveals that there can be a transitional behavior of the Page curve before the Page time, which is related to the emergence of new matter degrees of freedom on the branes.
