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Expanding the Black Hole Interior: Partially Entangled Thermal States in SYK

2018/07/31 by Akash Goel, Ho Tat Lam, Gustavo J. Turiaci +1 · 2 citations
Physics and Astronomy · #hep-th #cond-mat.str-el

paper · pdf · doi:10.1007/jhep02(2019)156

40 pages + appendices, 16 figures; v3. typos fixed

arxiv created 2018/12/06 · arxiv updated 2019/03/27

Abstract

We introduce a family of partially entangled thermal states in the SYK model that interpolates between the thermo-field double state and a pure (product) state. The states are prepared by a euclidean path integral describing the evolution over two euclidean time segments separated by a local scaling operator O. We argue that the holographic dual of this class of states consists of two black holes with their interior regions connected via a domain wall, described by the worldline of a massive particle. We compute the size of the interior region and the entanglement entropy as a function of the scale dimension of O and the temperature of each black hole. We argue that the one-sided bulk reconstruction can access the interior region of the black hole.

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