(2023-12-01) Seminar: Jiarui Sun (孙佳睿) -- Hyperfine Structure of Entanglement with the Decomposition of Rényi Contour


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


Inviter: Jianfei Xu (许剑飞)


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.


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]].