3/12 12:30 Dr. Hugo Camargo (NCTS) An Invitation to Free Probability: Quantum Chaos, OTOCs and Large-N Theories. (R521, 5F, General Building II, Nat'l Tsing Hua Univ.)
******** CTCD/NTHU HEP Seminar ********
Speaker ：Dr. Hugo Camargo (NCTS)
Title ：An Invitation to Free Probability: Quantum Chaos, OTOCs and Large-N Theories
Time ：12:30-13:30, Thursday, 2026/3/12
Place ：R521, 5F, General Building II, Nat'l Tsing Hua Univ.
Host ： Prof. Norihiro Iizuka (NTHU)
Abstract:
Free probability theory provides a rigorous framework for non-commutative random variables with free independence, and is the natural language for planar limits of operator algebras such as those arising in large‑N matrix models. It has been fruitfully applied to random matrix theory and large‑N quantum systems, and 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. I will also discuss its relation with large-N factorization and contrast it with the description of gravitational scrambling in holographic theories as measured by out-of-time order correlators (OTOCs). This talk is based on 2503.20338 and 2506.04520.
Speaker ：Dr. Hugo Camargo (NCTS)
Title ：An Invitation to Free Probability: Quantum Chaos, OTOCs and Large-N Theories
Time ：12:30-13:30, Thursday, 2026/3/12
Place ：R521, 5F, General Building II, Nat'l Tsing Hua Univ.
Host ： Prof. Norihiro Iizuka (NTHU)
Abstract:
Free probability theory provides a rigorous framework for non-commutative random variables with free independence, and is the natural language for planar limits of operator algebras such as those arising in large‑N matrix models. It has been fruitfully applied to random matrix theory and large‑N quantum systems, and 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. I will also discuss its relation with large-N factorization and contrast it with the description of gravitational scrambling in holographic theories as measured by out-of-time order correlators (OTOCs). This talk is based on 2503.20338 and 2506.04520.