孙佳睿 副教授学术报告
Title: Hyperfine Structure of Entanglement with the Decomposition of Rényi Contour
Speaker: Assoc. Prof. Jiarui Sun (孙佳睿)
Affiliation: Sun Yat-sen University （中山大学）
Time: 15:30-16:30, Friday, 1st December, 2023 (UTC+8, Beijing Time)
Venue: Room 1502, Shing-Tung Yau Center, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing
（东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室）
Inviter: Jianfei Xu (许剑飞)
Abstract
Entanglement contour and Rényi contour reflect the real-space distribution of entanglement entropy, serving as the fine structure of entanglement. In this talk, we will introduce our recent work on unraveling the hyperfine structure by rigorously decomposing Rényi contour into the contributions from particle-number cumulants. We show that the hyperfine structure, introduced as a quantum-information concept, has several properties, such as additivity, normalization, symmetry, and unitary invariance. To extract the underlying physics of the hyperfine structure, we numerically study lattice fermion models with mass gap, critical point, and Fermi surface, and observe that different behaviors appear in the contributions from higher-order particle-number cumulants. We also identify exotic scaling behaviors in the case of mass gap with nontrivial topology, signaling the existence of topological edge states. In conformal field theory (CFT), we derive the dominant hyperfine structure of both Rényi entropy and refined Rényi entropy. By employing the AdS3/CFT2 correspondence, we find that the refined Rényi contour can be holographically obtained by slicing the bulk extremal surfaces. The extremal surfaces extend outside the entanglement wedge of the corresponding extremal surface for entanglement entropy, which provides an new tool to probe the hyperfine structure of the subregion-subregion duality in the entanglement wedge reconstruction.
参考文献：
L. H. Mo, Y. Zhou, J. R. Sun and P. Ye, “Unraveling the Hyperfine Structure of Entanglement with the Decomposition of R\'enyi Contour,”
[arXiv:2311.01997 [quant-ph]].
Speaker
孙佳睿，2004年本科毕业于湖南师范大学，2009年博士毕业于中国科学院高能物理研究所，2009年至2011年在台湾中央大学从事博士后研究工作，2011年10月-2015年3月在华东理工大学物理系任教，2015年4月加盟中山大学天文与空间科学研究院，现为物理与天文学院副教授、博导。研究领域主要为引力理论与场论。目前的研究兴趣主要集中在黑洞，弯曲时空量子场论，量子引力，演生引力，规范/引力对偶的应用和推广，特别是量子纠缠、量子多体系统和引力的关联。