PIRSA:24110077 Scientific Series Quantum Information

DOI10.48660/24110077

Series: Quantum Information

(2024). Black hole evaporation in random matrix theory (RMT) and statistical CFTs. Perimeter Institute. https://pirsa.org/24110077

Black hole evaporation in random matrix theory (RMT) and statistical CFTs. Perimeter Institute, Nov. 20, 2024, https://pirsa.org/24110077 

@misc{ pirsa_PIRSA:24110077,
  doi = {10.48660/24110077},
  url = {https://pirsa.org/24110077},
  author = {},
  keywords = {Quantum Information},
  language = {en},
  title = {Black hole evaporation in random matrix theory (RMT) and statistical CFTs},
  publisher = {Perimeter Institute},
  year = {2024},
  month = {nov},
  note = {PIRSA:24110077 see, \url{https://pirsa.org}}
}

Abstract

In this talk, with two parts, I will first show how to capture both Hawking's non-unitary entropy curve and density matrix-connecting contributions that restore unitarity, in a toy RMT quantum system modelling black hole evaporation. The motivation is to find the simplest possible dynamical model that captures this aspect of gravitational physics. In the model, there is a dynamical phase transition in the averaging that connects the density matrices in a replica wormhole-like manner and restores unitarity in the entropy curve. In the second half of the talk, I will discuss ongoing follow-up work describing black hole evaporation and unitarity restoration in statistical descriptions of holographic CFTs.

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