后代态的关联函数和量子测度
Correlation functions and quantum measures of descendant states
摘要:
我们讨论了一个递归公式的计算机实现计算关联函数的后代状态在二维CFT。这使我们能够获得真空后代的任何$N$点函数,或者在非真空后代的情况下将相关器表示为作用于相应的主相关器的微分算子。利用这个工具,我们研究了后代态之间的纠缠和可纠缠性度量,即Rényi熵,迹平方距离和夹心Rényi发散。我们的结果提供了一个测试的修正Rényi QNEC和新的工具来分析全息描述的后代国家在大$c$。
英文摘要:
We discuss a computer implementation of a recursive formula to calculate correlation functions of descendant states in two-dimensional CFT. This allows us to obtain any $N$-point function of vacuum descendants, or to express the correlator as a differential operator acting on the respective primary correlator in case of non-vacuum descendants. With this tool at hand, we then study some entanglement and distinguishability measures between descendant states, namely the Rényi entropy, trace square distance and sandwiched Rényi divergence. Our results provide a test of the conjectured Rényi QNEC and new tools to analyse the holographic description of descendant states at large $c$.
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