PreprintCC BY 4.0arXiv
The mean-field limit of the Schrödinger-Lohe model and emergent dynamics
Abstract
The Schrödinger-Lohe (SL) model is a coupled system of nonlinear Schrödinger 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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BibTeX
@misc{golse2026meanfield,
title = {{The mean-field limit of the Schrödinger-Lohe model and emergent dynamics}},
author = {François Golse and Seung-Yeal Ha},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03848},
eprint = {2609.03848},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03848},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The mean-field limit of the Schrödinger-Lohe model and emergent dynamics
AU - François Golse
AU - Seung-Yeal Ha
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.03848
UR - https://arxiv.org/abs/2609.03848
AB - The Schrödinger-Lohe (SL) model is a coupled system of nonlinear Schrödinger 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.
ER -