Topic: Entanglement structure from modified IR geometry

Speaker: Assoc. Prof. Yawen Sun

Coordinates: PCFT C1124, 15:00, Thursday, April 18

Abstract: In this talk, I will introduce a new proposal in holography 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. Two distinct types of IR geometries, namely the spherical case and the hyperbolic case, are considered, 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.