Planckian bound on quantum dynamical entropy

• URL: http://arxiv.org/abs/2507.20914v1
• Date: Mon, 28 Jul 2025 15:09:57 GMT
• Title: Planckian bound on quantum dynamical entropy
• Authors: Xiangyu Cao,
• Abstract summary: A nonzero entropy rate can be obtained by monitoring the thermal fluctuation of an extensive observable in a generic many-body system.<n>We explicitly compute the entropy rate in the thermodynamic and long-time limit.<n>We conjecture a universal Planckian bound for the entropy rate.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce a simple definition of dynamical entropy for quantum systems under continuous monitoring, inspired by Connes, Narnhofer and Thirring. It quantifies the amount of information gained about the initial condition. A nonzero entropy rate can be obtained by monitoring the thermal fluctuation of an extensive observable in a generic many-body system (away from classical or large N limit). We explicitly compute the entropy rate in the thermodynamic and long-time limit, in terms of the two-point correlation functions. We conjecture a universal Planckian bound for the entropy rate. Related results on the purification rate are also obtained.

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