arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2109.09243hep-thgr-qcquant-ph
收藏

双全息中的反射熵

Reflected Entropy in Double Holography

Yi Ling, Peng Liu, Yuxuan Liu, Chao Niu, Zhuo-Yu Xian, Cheng-Yong Zhang

摘要:

最近,全息方法中提出了反射熵来描述两体量子系统在混合态中的纠缠,它被定义为纠缠楔内反射最小表面的面积。本文研究了包含体量子物质自由度的双全息系统中的反射熵。在此背景下,我们提出了量子纠缠楔形截面的概念,它可以描述具有高阶量子修正的反射熵。我们数值计算了纯AdS背景和黑洞背景下四维的反射熵。一般来说,反射熵包含膜上几何的贡献和CFT的贡献。我们计算了它们在不同牛顿常数下的比例,发现它们的行为与基于半经典引力和CFT耦合到浴CFT的关联的结果一致。

英文摘要:

Recently, the reflected entropy is proposed in holographic approach to describe the entanglement of a bipartite quantum system in a mixed state, which is identified as the area of the reflected minimal surface inside the entanglement wedge. In this paper, we study the reflected entropy in the doubly holographic setup, which contains the degrees of freedom of quantum matter in the bulk. In this context, we propose a notion of quantum entanglement wedge cross-section, which may describe the reflected entropy with higher-order quantum corrections. We numerically compute the reflected entropy in pure AdS background and black hole background in four dimensions, respectively. In general, the reflected entropy contains the contribution from the geometry on the brane and the contribution from the CFT. We compute their proportion for different Newton constants and find that their behaviors are in agreement with the results based on the semi-classical gravity and the correlation of CFT coupled to the bath CFT.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑