Ownerless island and partial entanglement entropy in island phases

Basu, Debarshi1; Lin, Jiong2,3; Lu, Yizhou4; Wen, Qiang5,6

2023-12-01

10.21468/SciPostPhys.15.6.227

SCIPOST PHYSICS   影响因子和分区

2542-4653

In the context of partial entanglement entropy (PEE), we study the entanglement structure of the island phases realized in several 2-dimensional holographic set-ups. From a pure quantum information perspective, the entanglement islands emerge from the selfencoding property of the system, which gives us new insights on the construction of the PEE and the physical interpretation of two-point functions of twist operators in island phases. With the contributions from the entanglement islands properly taken into account, we give a generalized prescription to construct PEE and balanced partial entanglement entropy (BPE). Here the ownerless island region, which lies inside the island Is(AB) of A u B but outside Is(A) u Is(B), plays a crucial role. Remarkably, we find that under different assignments for the ownerless island, we get different BPEs, which exactly correspond to different saddles of the entanglement wedge cross-section (EWCS) in the entanglement wedge of A u B. The assignments can be settled by choosing the one that minimizes the BPE. Furthermore, under this assignment we study the PEE and give a geometric picture for the PEE in holography, which is consistent with the geometric picture in the no-island phases.

SCI

英语

其他

National Natural Science Foundation of China["12247117","12247103","12047502"] ; China Postdoctoral Science Foundation[2022TQ0140] ; National Natural Science Foundation of China[12247161]

Physics

Physics, Multidisciplinary

WOS:001114795100003

SCIPOST FOUNDATION

Web of Science

1.Indian Inst Technol, Kanpur 208016, India
2.Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China
3.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China
4.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
5.Southeast Univ, Shing Tung Yau Ctr, Nanjing 210096, Peoples R China
6.Southeast Univ, Sch Phys, Nanjing 210096, Peoples R China

Basu, Debarshi,Lin, Jiong,Lu, Yizhou,et al. Ownerless island and partial entanglement entropy in island phases[J]. SCIPOST PHYSICS,2023,15(6).

Basu, Debarshi,Lin, Jiong,Lu, Yizhou,&Wen, Qiang.(2023).Ownerless island and partial entanglement entropy in island phases.SCIPOST PHYSICS,15(6).

Basu, Debarshi,et al."Ownerless island and partial entanglement entropy in island phases".SCIPOST PHYSICS 15.6(2023).