Notes on solvable models of many-body quantum chaos

• URL: http://arxiv.org/abs/2408.11123v1
• Date: Tue, 20 Aug 2024 18:24:52 GMT
• Title: Notes on solvable models of many-body quantum chaos
• Authors: Shunyu Yao,
• Abstract 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 process.
• Score: 15.617052284991203
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 intuitive way of thinking about many-body chaotic behaviors. Other properties including entanglement growth and other variants of this solvable models are discussed.

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