Speaker
Hugo A. Camargo
(National Center for Theoretical Sciences, Physics Division)
Description
Free probability theory provides a rigorous framework for non-commutative random variables with free independence, and is the natural language for operator algebras in quantum mechanics. It has recently been explored as a tool for modeling aspects of quantum chaos, thermalization, and scrambling in regimes where random‑matrix or mean‑field behavior is expected. In this talk, I will provide an introduction to free probability theory and I will motivate and discuss its recent applications to describe quantum mixing in terms of emergent free independence between quantum observables in terms of operator statistics in models such as the mixed-field Ising, the q=2,4 SYK models and the RP model. This talk is based on 2503.20338 and 2506.04520.