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arXiv · 2609.03848

The mean-field limit of the Schr\"{o}dinger-Lohe model and emergent dynamics

François Golse·Seung-Yeal Ha
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Abstract

The Schr\"odinger-Lohe (SL) model is a coupled system of nonlinear Schr\"odinger equations describing the temporal-spatial evolution of the component wave functions, and it corresponds to the infinite-dimensional counterpart of the Lohe matrix model for quantum synchronization. In this paper, we study a rigorous mean-field limit of the SL model and provide a quantitative estimate on the fluctuations between one-marginal distribution and one particle distribution in 2-Wasserstein distance. For the derived kinetic SL equation, we present sufficient conditions leading to the complete and practical synchronizations.

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François Golse, Seung-Yeal Ha. 2026-09-03. The mean-field limit of the Schr\"{o}dinger-Lohe model and emergent dynamics. https://arxiv.org/abs/2609.03848

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