解构虫洞：因子分解、纠缠与退相干
Deconstructing the Wormhole: Factorization, Entanglement and Decoherence
摘要：
通过研究双光子系统的光谱形状因子的普遍晚时行为与热混合态的第二Renyi熵之间的关系，研究了系综平均在全息中的作用。这两个量都从虫洞鞍点接收贡献：在前一种情况下，它们导致非因子分解，而在后一种情况下，它们量化由于与环境的相互作用而引起的退相干。我们的推理表明，负责非因子分解的时空连续性和通过纠缠的时空连续性是直接相互竞争的。在一个附带的文件中，我们检查这种对偶关系的一般类的一维量子系统的帮助下，一个简单的几何路径积分处方。
英文摘要：
We study the role of ensemble averaging in holography by exploring the relation between the universal late time behavior of the spectral form factor and the second Renyi entropy of a thermal mixed state of the doubled system. Both quantities receive contributions from wormhole saddle-points: in the former case they lead to non-factorization while in the latter context they quantify decoherence due to the interaction with an environment. Our reasoning indicates that the space-time continuity responsible for non-factorization and space-time continuity through entanglement are in direct competition with each other. In an accompanying paper, we examine this dual relationship in a general class of 1D quantum systems with the help of a simple geometric path integral prescription.
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