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Résumé |
I will give an overview of recent results in the study of quantum chaos in
random unitary quantum circuits. After providing the main motivations coming
from high-energy physics, I will introduce the concepts of out-of-time ordered
correlators (OTOCs) and of tripartite information as measures of scrambling of
quantum information. I will then focus on the study of nonlocal random
circuits, and discuss a method to obtain numerically exact results for large
system sizes. I will finally present a detailed study of two particular
systems: a Brownian SYK model of all-to-all-interacting Majorana fermions, and
a random circuit model for black hole evaporation, focusing on the most
interesting physical aspects.
Talk based on:
C. Sünderhauf, L. Piroli, X.-L. Qi, N. Schuch, and J. I. Cirac, J. High Energ.
Phys. 38 (2019)
L. Piroli, C. Sünderhauf, and X.-L. Qi, arXiv:2002.09236 (2020) |
