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Title: On the spread of entanglement at finite cutoff
A<sc>bstract</sc>

We study how entanglement spreads in the boundary duals of finite-cutoff three-dimensional theories with positive, negative and zero cosmological constant, the$$ T\overline{T} $$TT¯+ Λ2two-dimensional theories. We first study the Hawking-Page transition in all three cases, and find that there is a transition in all three scenarios at the temperature where the lengths of the two cycles of the torus are the same. We then study the entanglement entropy in the thermofield double states above the Hawking-Page transition, of regions symmetrically placed on the two boundaries. We consider the case where the region is one interval on each side, and the case where it is two intervals on each side. We give an entanglement tsunami interpretation of the time-evolution of the entanglement entropies.

 
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Award ID(s):
2014215
NSF-PAR ID:
10477575
Author(s) / Creator(s):
; ;
Publisher / Repository:
Springer-Verlag
Date Published:
Journal Name:
Journal of High Energy Physics
Volume:
2023
Issue:
5
ISSN:
1029-8479
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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