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Title: Rescuing a black hole in the large-q coupled SYK model

Abstract

In this paper, we develop a general effective theory for two copies of the Sachdev-Ye-Kitaev (SYK) model with a time-dependent bilinear coupling. For a quantum quench problem with an initial state of the thermofield double state, we show how the evolution of the system is described by a complex reparametrization field with a classical Hamiltonian. We study correlation functions in this system and compare the large-q theory with the bulk low energy effective theory. In particular, we study the special case of a “rescued black hole”, which describes how a time-evolved thermofield double state can evolve to the ground state of a coupled SYK model by a carefully tuned time-dependent coupling. In the low energy region, there is a holographic dual interpretation, which is a geometry that crosses over from an eternal black hole to a global AdS2 vacuum. This family of geometries allow us to access the bulk region that would be the black hole interior without the rescue process. By comparing the large-q and low energy theory, we find that even in the low energy region the deviation from the low energy theory cannot be neglected if the rescue process starts late. This provides evidence that the lowmore » energy effective theory of the bulk fails near the inner horizon of the black hole. We note the possibility of a connection to a two-dimensional analog of the higher-dimensional black hole singularity.« less

Authors:
ORCiD logo [1];  [1]
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  1. Stanford Univ., CA (United States). Stanford Inst. of Theoretical Physics (ITP)
Publication Date:
Research Org.:
Univ. of California, Oakland, CA (United States)
Sponsoring Org.:
National Science Foundation (NSF); Simons Foundation; Hertz Foundation; USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1853137
Grant/Contract Number:  
SC0019380; 1720504
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Physics; AdS-CFT Correspondence; 2D Gravity; Black Holes; Spacetime Singularities

Citation Formats

Lensky, Yuri D., and Qi, Xiao-Liang. Rescuing a black hole in the large-q coupled SYK model. United States: N. p., 2021. Web. doi:10.1007/jhep04(2021)116.
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Lensky, Yuri D., & Qi, Xiao-Liang. Rescuing a black hole in the large-q coupled SYK model. United States. https://doi.org/10.1007/jhep04(2021)116
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Lensky, Yuri D., and Qi, Xiao-Liang. Tue . "Rescuing a black hole in the large-q coupled SYK model". United States. https://doi.org/10.1007/jhep04(2021)116. https://www.osti.gov/servlets/purl/1853137.
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@article{osti_1853137,
title = {Rescuing a black hole in the large-q coupled SYK model},
author = {Lensky, Yuri D. and Qi, Xiao-Liang},
abstractNote = {In this paper, we develop a general effective theory for two copies of the Sachdev-Ye-Kitaev (SYK) model with a time-dependent bilinear coupling. For a quantum quench problem with an initial state of the thermofield double state, we show how the evolution of the system is described by a complex reparametrization field with a classical Hamiltonian. We study correlation functions in this system and compare the large-q theory with the bulk low energy effective theory. In particular, we study the special case of a “rescued black hole”, which describes how a time-evolved thermofield double state can evolve to the ground state of a coupled SYK model by a carefully tuned time-dependent coupling. In the low energy region, there is a holographic dual interpretation, which is a geometry that crosses over from an eternal black hole to a global AdS2 vacuum. This family of geometries allow us to access the bulk region that would be the black hole interior without the rescue process. By comparing the large-q and low energy theory, we find that even in the low energy region the deviation from the low energy theory cannot be neglected if the rescue process starts late. This provides evidence that the low energy effective theory of the bulk fails near the inner horizon of the black hole. We note the possibility of a connection to a two-dimensional analog of the higher-dimensional black hole singularity.},
doi = {10.1007/jhep04(2021)116},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2021,
place = {United States},
year = {Tue Apr 13 00:00:00 EDT 2021},
month = {Tue Apr 13 00:00:00 EDT 2021}
}
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Publisher's Version of Record
https://doi.org/10.1007/jhep04(2021)116
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Works referenced in this record:

Diving into traversable wormholes: Diving into traversable wormholes
journal, May 2017

  • Maldacena, Juan; Stanford, Douglas; Yang, Zhenbin
  • Fortschritte der Physik, Vol. 65, Issue 5
  • DOI: 10.1002/prop.201700034

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
journal, December 2019

  • Almheiri, Ahmed; Engelhardt, Netta; Marolf, Donald
  • Journal of High Energy Physics, Vol. 2019, Issue 12
  • DOI: 10.1007/JHEP12(2019)063

Entanglement wedge reconstruction and the information paradox
journal, September 2020

Lower dimensional gravity
journal, January 1985

Quantum epidemiology: operator growth, thermal effects, and SYK
journal, August 2019

  • Qi, Xiao-Liang; Streicher, Alexandre
  • Journal of High Energy Physics, Vol. 2019, Issue 8
  • DOI: 10.1007/JHEP08(2019)012

The large N limit of superconformal field theories and supergravity
conference, January 1999

  • Maldacena, Juan
  • The second meeting on trends in theoretical physics, AIP Conference Proceedings
  • DOI: 10.1063/1.59653

Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
journal, June 2020

  • Chen, Yiming; Qi, Xiao-Liang; Zhang, Pengfei
  • Journal of High Energy Physics, Vol. 2020, Issue 6
  • DOI: 10.1007/JHEP06(2020)121

Gravitation and hamiltonian structure in two spacetime dimensions
journal, June 1983

Traversable wormholes via a double trace deformation
journal, December 2017

  • Gao, Ping; Jafferis, Daniel Louis; Wall, Aron C.
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)151

Quantum quench of the Sachdev-Ye-Kitaev model
journal, November 2017

SYK correlators for all energies
journal, February 2020

On solutions of Liouville's equation
journal, July 1980

Gravitation and hamiltonian structure in two spacetime dimensions
journal, June 1983

Quantum Epidemiology: Operator Growth, Thermal Effects, and SYK
text, January 2018

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
text, January 2019

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