The Holographic Map of an Evaporating Black Hole
- URL: http://arxiv.org/abs/2301.08362v2
- Date: Wed, 17 Jan 2024 13:39:21 GMT
- Title: The Holographic Map of an Evaporating Black Hole
- Authors: Zsolt Gyongyosi, Timothy J. Hollowood, S. Prem Kumar, Andrea
Legramandi, Neil Talwar
- Abstract summary: We construct a holographic map that takes the semi-classical state of an evaporating black hole and its Hawking radiation to a microscopic model.
The microscopic model is given by a nested sequence of random unitaries, each one implementing a scrambling time step of the black hole evolution.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We construct a holographic map that takes the semi-classical state of an
evaporating black hole and its Hawking radiation to a microscopic model that
reflects the scrambling dynamics of the black hole. The microscopic model is
given by a nested sequence of random unitaries, each one implementing a
scrambling time step of the black hole evolution. Differently from other
models, energy conservation and the thermal nature of the Hawking radiation are
taken into account. We show that the QES formula follows for the entropy of
multiple subsets of the radiation and black hole. We further show that a
version of entanglement wedge reconstruction can be proved by computing
suitable trace norms and quantum fidelities involving the action of a unitary
on a subset of Hawking partners. If the Hawking partner is in an island, its
unitary can be reconstructed by a unitary on the radiation. We also adopt a
similar setup and analyse reconstruction of unitaries acting on an infalling
system.
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