论文标题
全息纠缠过渡附近的增强校正：混乱的案例研究
Enhanced corrections near holographic entanglement transitions: a chaotic case study
论文作者
论文摘要
最近的工作发现，在混乱的特征态中子系统的纠缠熵进行了增强。增强的校正出现在纠缠熵的相变附近，这是当子系统大小是整个系统大小的一半时发生的。在这里，我们在这里研究了这种增强的矫正全息。我们通过对所有散装鞍点解决方案的贡献（包括打破复制品对称性的s solutions的贡献）进行概括，从而在混乱的本征态示例中明确显示了这些校正。借助出现的旋转对称性，所有鞍点上的总和是根据宇宙麸皮的有效动作而写的。然后以固定区域的基础自然组织了由此产生的Renyi和纠缠熵，并且可以直接评估，显示全息纠缠过渡附近的校正增强。我们评论了可访问的示例的几个有趣的特征，并讨论了在其他更一般的全息示例中找到令人信服的衍生作用的含义。
Recent work found an enhanced correction to the entanglement entropy of a subsystem in a chaotic energy eigenstate. The enhanced correction appears near a phase transition in the entanglement entropy that happens when the subsystem size is half of the entire system size. Here we study the appearance of such enhanced corrections holographically. We show explicitly how to find these corrections in the example of chaotic eigenstates by summing over contributions of all bulk saddle point solutions, including those that break the replica symmetry. With the help of an emergent rotational symmetry, the sum over all saddle points is written in terms of an effective action for cosmic branes. The resulting Renyi and entanglement entropies are then naturally organized in a basis of fixed-area states and can be evaluated directly, showing an enhanced correction near holographic entanglement transitions. We comment on several intriguing features of our tractable example and discuss the implications for finding a convincing derivation of the enhanced corrections in other, more general holographic examples.
