报告题目：Some topics on tensor networks and bit threads in holographic dualities

报告人：孙佳睿 副教授（中山大学）

报告时间：2022年5月12日（周四）下午15:30-16:30

报告地点：在线报告（腾讯会议ID：442 4477 5872）

报告摘要：

Recently, much progress has been made in finding the deep relationships between gravity and quantum entanglement such as entanglement entropy, tensor networks and bit threads, from holographic dualities. In the first part of this talk, we will introduce our recent work on a surface growth approach for the bulk reconstruction in the AdS/CFT correspondence, to build up the bulk spacetime geometry. We will show that this formalism can be explicitly realized with the help of the surface/state correspondence and the one-shot entanglement distillation tensor network, which provides a concrete and intuitive way for the entanglement wedge reconstruction. In the second part, we will give a new proof for the entanglement of purification by combining the ideas of the bit thread and the surface growth approach. In addition, by applying the locking theorem of bit threads, we also find a derivation for the partial entanglement entropy proposal. Moreover, we will also incorporate the bit threads with the AdS/BCFT correspondence to study the entanglement island, which attempts to provide further insight into the black hole information problem.

参考文献：

[1] Y. Y. Lin, J.-R. Sun and Y. Sun, Surface growth scheme for bulk reconstruction and tensor network, JHEP 12, 083 (2020) [arXiv:2010.01907].

[2] C. Yu, F. Z. Chen, Y. Y. Lin, J.-R. Sun and Y. Sun, Note on surface growth approach for bulk reconstruction, Chin. Phys. C 46 (2022) 8, 085104 [arXiv:2010.03167].

[3] Y. Y. Lin, J.-R. Sun and Y. Sun, Bit thread, entanglement distillation, and entanglement of purification, Phys. Rev. D 103, 126002 (2021) [arXiv:2012.05737].

[4] Y. Y. Lin, J.-R. Sun and J. Zhang, Deriving the PEE proposal from the locking bit thread configuration, JHEP 10, 164 (2021) [arXiv:2105.09176].

[5] Y. Y. Lin, J.-R. Sun, Y. Sun and J. C. Jin, The PEE aspects of entanglement islands from bit threads, [arXiv:2203.03111].

报告人简介：

孙佳睿，2009年博士毕业于中国科学院高能物理研究所，2009-2011年在台湾中央大学从事博士后研究工作，2011-2015年在华东理工大学物理系任教，2015年入职中山大学，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。

报告链接：

Some topics on tensor networks and bit threads in holographic dualities_哔哩哔哩_bilibili