Abstract
We study how entanglement spreads in the boundary duals of finite-cutoff three-dimensional theories with positive, negative and zero cosmological constant, the \( T\overline{T} \) + Λ2 two-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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Acknowledgments
We thank the authors of [6] for discussions and collaboration on the related work [6]. This work has been partially supported by STFC consolidated grant ST/T000694/1. RMS is supported by the Isaac Newton Trust grant “Quantum Cosmology and Emergent Time” and the (United States) Air Force Office of Scientific Research (AFOSR) grant “Tensor Networks and Holographic Spacetime”. EAC is supported by the US NSF Graduate Research Fellowship under Grant DGE-1656518.
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ArXiv ePrint: 2208.12376
Now at MIT Climate & Sustainability Consortium. (Evan Coleman)
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Coleman, E., Soni, R.M. & Yang, S. On the spread of entanglement at finite cutoff. J. High Energ. Phys. 2023, 213 (2023). https://doi.org/10.1007/JHEP05(2023)213
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DOI: https://doi.org/10.1007/JHEP05(2023)213