Expanding the black hole interior: partially entangled thermal states in SYK
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.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- February 2019
- DOI:
- 10.1007/JHEP02(2019)156
- arXiv:
- arXiv:1807.03916
- Bibcode:
- 2019JHEP...02..156G
- Keywords:
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- 2D Gravity;
- AdS-CFT Correspondence;
- Models of Quantum Gravity;
- High Energy Physics - Theory;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 40 pages + appendices, 16 figures