Black hole evaporation in random matrix theory (RMT) and statistical CFTs

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2024},
            month = {nov},
            note = {PIRSA:24110077 see, \url{https://scivideos.org/index.php/pirsa/24110077}}
          }
          

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.