Notes on solvable models of many-body quantum chaos
Source
- Person key:
alfredyao - Source kind:
paper - Canonical URL: https://arxiv.org/abs/2408.11123
- License:
NOASSERTION - Public handling:
public-metadata-summary-hash-link-only - Semantic hash:
72a77242300c3eb4f0c102476510da942654ec965709ae52d39bd68b63f57328 - First seen: 2026-05-16
- Last changed: 2026-05-16
- Identity guard: Do not confuse with yao-shunyu-ysymyth, the OpenAI language-agents researcher at ysymyth.github.io.
Classification
- Category: Quantum chaos / quantum gravity
- Topic hub: shunyu-yao-public-corpora
- Project taxonomy: shunyu-yao-project-taxonomy
- Paper map: shunyu-yao-paper-map
Summary
We study a class of many body chaotic models related to the Brownian Sachdev-Ye-Kitaev model. An emergent symmetry maps the quantum dynamics into a classical stochastic process. Thus we are able to study many dynamical properties at finite N on an arbitrary graph structure. A comprehensive study of operator size growth with or without spatial locality is presented. We will show universal behaviors emerge at large N limit, and compare them with field theory method. We also design simple stochastic processes as an in…
What This Teaches
How quantum chaos and gravity concepts connect to information dynamics, scrambling, and theoretical physics.
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