论文标题
从复制虫洞的JLMS公式进行的大小校正
Large and Small Corrections to the JLMS Formula from Replica Wormholes
论文作者
论文摘要
JLMS公式与散装和边界相对熵有关，是全息词典的基础，为纠缠楔子重建提供了理由。我们重新审视相对熵的复制技巧，并在各种情况下找到JLMS公式的校正，即使考虑到量子极端的影响。我们分析了PSSY模型中的问题，PSSY模型是一种结合到世界末日麸皮的Jackiw-teitelboim重力模型。我们发现始终存在的非扰动（以$ g $）的校正是由亚尺寸复制孔孔引力鞍引起的，这些鞍座表明ADS/CFT的近似错误校正性质。近乎纠缠的相位过渡，这些马鞍可以增强到大型校正。我们发现$ o \ left（g^{ - 1/2} \右）$校正是由面积波动产生的，$ o \ left（g^{ - 1} \右）$从不可压缩的体积量子状态中校正。最后，我们发现我们最令人惊讶的结果，是由于批量纠缠频谱的排名不足而导致的页面时间后，无限违反了JLMS公式。我们讨论张量网络中的类似计算，并评论对批量重建的影响。
The JLMS formula relates the bulk and boundary relative entropies and is fundamental to the holographic dictionary, providing justification for entanglement wedge reconstruction. We revisit the replica trick for relative entropy and find corrections of the JLMS formula in a variety of scenarios, even after accounting for effects of quantum extremality. We analyze the problem in the PSSY model, a model of Jackiw-Teitelboim gravity coupled to end-of-the-world branes. We find non-perturbative (in $G$) corrections that are always present, arising from subdominant replica wormhole gravitational saddles that indicate the approximate error-correcting nature of AdS/CFT. Near entanglement phase transitions, these saddles can get enhanced to large corrections. We find $O\left(G^{-1/2}\right)$ corrections arising from area fluctuations and $O\left(G^{-1}\right)$ corrections from incompressible bulk quantum states. Lastly, we find our most surprising result, an infinite violation of the JLMS formula after the Page time arising from a rank deficiency in the bulk entanglement spectrum. We discuss similar calculations in tensor networks and comment on the implications for bulk reconstruction.
