Revealing the interior of black holes out of equilibrium in the SYK model
arXiv:1804.09017 · doi:10.1103/PhysRevD.98.066013
Abstract
The Sachdev-Ye-Kitaev (SYK) model can be used to describe black holes (BHs) in two-dimensional nearly-anti-de-Sitter gravity. We show that when such BHs are perturbed by a time-dependent negative-energy perturbation, their interior can be partially revealed. In the SYK model, a partial measurement of the state of the Majorana fermion pairs allows one to construct a matching time-dependent negative-energy perturbation of the BH geometry that shifts the state of the BH away from its equilibrium state. Kourkoulou and Maldacena showed that, if the perturbation is strong enough, the interior can be fully exposed and the BH disappears. Here, we show that when the perturbation is weaker than the threshold for full exposure, it effectively moves the horizon of the BH inwards, thus partially exposing the interior of the BH and leaving behind a smaller BH. The exposure is in proportion to the number of measured Majorana pairs and so also in proportion to the magnitude of the energy of the perturbation. From the boundary, the partial measurement is perceived as a burst of radiation whose strength and duration are proportional to the number of measured Majorana pairs.
arXiv comment23 pages, 4 figures. Published version. Added clarifications, a calculation and discussion of the emitted radiation resulting from partial measurement
References in corpus (22)
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Average Entropy of a Subsystem
- Black Holes: Complementarity or Firewalls?
- Is the gravitational-wave ringdown a probe of the event horizon?
- Chaos in AdS holography
- An Investigation of AdS Backreaction and Holography
- Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
- The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
- Echoes from the Abyss: Tentative evidence for Planck-scale structure at black hole horizons
- Gauge/Gravity Duality and the Black Hole Interior
- AdS holography and the SYK model
- Eternal traversable wormhole
- Models of AdS_2 Backreaction and Holography
- Pure states in the SYK model and nearly- gravity
- Entangled black holes as ciphers of hidden information
- Black Hole Information
- Echoes from the Abyss: The Holiday Edition!
- When black holes collide: Probing the interior composition by the spectrum of ringdown modes and emitted gravitational waves
- Is the Black Hole Complementarity principle really necessary?
- Discovering the interior of black holes
- Quantum hair of black holes out of equilibrium