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Entanglement structures from modified IR geometry

delete2024-07-22
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OA
AI
X
Xin-Xiang Ju *
T
Tengzhou Lai
B
Bo-Hao Liu
W
Wenbin Pan
Y
Yawen Sun
DOI:10.1007/JHEP07(2024)181delete
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Abstract

Abstract

En 中文
We investigate a new proposal connecting the geometry at various radial scales in asymptotic AdS spacetime with entanglement structure at corresponding real-space length scales of the boundary theory. With this proposal, the bulk IR geometry encodes the long-scale entanglement structure of the dual quantum system. We consider two distinct types of IR geometries, namely the spherical case and the hyperbolic case, which are intimately related to the physics of differential entropy and brane-world holography separately. We explore the corresponding change in the dual long-scale entanglement structures, utilizing the tools of the Ryu-Takayanagi formula, conditional mutual information, and partial entanglement entropy. The results indicate that modifying the IR geometry leads to a redistribution of entanglement at scales longer than a critical length determined by the location of the IR region, with the two modified IR geometries corresponding to two opposite ways of redistribution. Furthermore, we establish the maximum amount of entanglement that can be modified, which is proportional to the area of the IR region.
Keywords:
AdS-CFT Correspondence
Gauge-Gravity Correspondence

Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
3.9W
Citations:
13.7W

Organization

U
university of chinese academy of sciences, cas
Scholars:
4.1W
Papers: 3.8W
Citations: 75
C
chinese academy of sciences
Scholars:
56.7W
Papers: 45.0W
Citations: 704
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