模流与面积算符
Modular flow and the area operator
浏览论文内容
中文总结 AI 辅助
在AdS/CFT中，针对大码框架，研究模流改变经典背景时体模哈密顿量可主导面积项，并证明在特定条件下模流状态由HRT面积流单独描述。
中文摘要 AI 辅助
在AdS/CFT对偶的背景下，Jafferis-Lewkowycz-Maldacena-Suh（JLMS）公式将边界模哈密顿量与HRT面积算符及相应的体模哈密顿量联系起来。在基于固定经典背景上的微扰激发构建的全息码的标准讨论中，$A/4G$项在$G \ o 0$极限下主导体模哈密顿量。然而，这种设置不足以描述改变经典背景的边界模流的作用。相比之下，我们最近关于“大”码的讨论为获得JLMS公式提供了一个有用的框架，该公式将作用于码中适当状态的体模和边界模流联系起来。在此，人们看到，当一个状态定义的模流作用于另一个峰值位于足够不同的经典背景附近的状态时，体模哈密顿量实际上并非次主导。相反，体模哈密顿量可以达到$1/G$量级，并能主导$A/4G$项。尽管如此，我们证明，如果两个状态具有相同的经典背景，除了与HRT面积共轭的数据外，那么在温和假设下，并在大范围的流参数上，模流后的状态由仅由HRT面积流给出的经典背景来描述。
英文摘要
In the context of the AdS/CFT correspondence, the Jafferis-Lewkowycz-Maldacena-Suh (JLMS) formula relates the boundary modular Hamiltonian to the HRT area operator and the corresponding bulk modular Hamiltonian. In standard discussions of a holographic code built from perturbative excitations on a fixed classical background, the $A/4G$ term dominates over the bulk modular Hamiltonian in the limit $G \to 0$. However, this setup is insufficient to describe the action of boundary modular flows that change the classical background. In contrast, our recent discussion of `large' codes provides a useful framework to obtain a JLMS formula that relates bulk and boundary modular flows acting on appropriate states in the code. Here, one sees that the bulk modular Hamiltonian is not in fact subdominant when the modular flow defined by one state acts on another state peaked around a sufficiently different classical background. Instead, the bulk modular Hamiltonian can be of order $1/G$ and can dominate over the $A/4G$ term. Nevertheless, we show that if the two states have the same classical background except for data conjugate to the HRT area then, under mild assumptions and over a large range of flow parameters, the modular-flowed state is described by a classical background given by the HRT-area flow alone.
发表机构
- University of California, Santa Barbara（加州大学圣塔芭芭拉分校）
- Tata Institute of Fundamental Research（塔塔基础研究所）
机构由 AI 辅助整理，请以论文原文为准。
