论文标题
（全息）激发状态的模块化哈密顿量
Modular Hamiltonian for (holographic) excited states
论文作者
论文摘要
在这项工作中，我们研究了一个激动人心的状态的tomita-takesaki结构，在强烈耦合的CFT中 - 在$ n $ - 在$ n $中，对应于渐近广告时空几何形状中的相干状态。我们计算了与这些激发态在Rindler楔形中的这些激发态相关的模块化流量和模块化的哈密顿量，并用于球形纠缠的表面。使用全息图，可以计算散装模块化流程并为这些情况构建tomita-takesaki理论。我们还讨论了大容量中纠缠区域的概括，以及如何在大N近似中估算模块化的哈密顿量。最后，我们基于BDHM处方提供了一个全息公式，以计算相应的CFT代数中运算符的模块化演化。
In this work we study the Tomita-Takesaki construction for a family of excited states that, in a strongly coupled CFT - at large $N$-, correspond to coherent states in an asymptotically AdS spacetime geometry. We compute the modular flow and modular Hamiltonian associated to these excited states in the Rindler wedge and for a ball shaped entangling surface. Using holography, one can compute the bulk modular flow and construct the Tomita-Takesaki theory for these cases. We also discuss generalizations of the entanglement regions in the bulk and how to estimate the modular Hamiltonian in a large N approximation. Finally we present a holographic formula, based on the BDHM prescription, to compute the modular evolution of operators in the corresponding CFT algebra.
