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 AdS${}_2$ 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.

arXiv comment30 pages, 10 figures

References in corpus (13)

• Gauge Theory Correlators from Non-Critical String Theory
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• Traversable Wormholes via a Double Trace Deformation
• Diving into traversable wormholes
• The Bulk Dual of SYK: Cubic Couplings
• Quantum quench of the Sachdev-Ye-Kitaev Model
• Quantum Epidemiology: Operator Growth, Thermal Effects, and SYK
• Statistical mechanics of a two-dimensional black hole
• Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
• Proper time to the black hole singularity from thermal one-point functions
• SYK Correlators for All Energies

Cited by in corpus (13)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• The bulk Hilbert space of double scaled SYK
• Lindbladian dissipation of strongly-correlated quantum matter
• Islands with Gravitating Baths: Towards ER = EPR
• Six-point functions and collisions in the black hole interior
• Size and momentum of an infalling particle in the black hole interior
• Measurement-induced phase transition in teleportation and wormholes
• Collisions of localized shocks and quantum circuits
• Bulk Reconstruction from Generalized Free Fields
• SYK Model with global symmetries in the double scaling limit
• A route from maximal chaoticity to integrability
• Quasiparticle tunnelling in two coupled chiral SYK model
• Quantum and higher curvature corrections to the anti-de Sitter black hole