Quantitative propagation of chaos for Lindblad dynamics

• URL: http://arxiv.org/abs/2605.06973v1
• Date: Thu, 07 May 2026 21:43:27 GMT
• Title: Quantitative propagation of chaos for Lindblad dynamics
• Abstract summary: We prove that the $N$-particle dynamics converges, in the sense of quantum relative entropy, to the tensorized solution of the limiting nonlinear equation.<n>We establish explicit bounds of order $1/N$ on the relative entropy between the $N$-particle density operator and the corresponding product state.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider an open quantum system governed $N$-body Lindblad equation and study mean-field limits in this setting. We prove that the $N$-particle dynamics converges, in the sense of quantum relative entropy, to the tensorized solution of the limiting nonlinear equation. More precisely, we establish explicit bounds of order $1/N$ on the relative entropy between the $N$-particle density operator and the corresponding product state, thereby providing a quantitative propagation of chaos.

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