Stochastic Schrodinger-Lohe model

被引：2

作者：

Fukuizumi, Reika ^{[1
]}

Hahn, Leo ^{[2
]}

机构：

[1] Tohoku Univ, Grad Sch Informat Sci, Res Ctr Pure & Appl Math, Sendai, Miyagi 9808579, Japan

[2] PSL Univ, Ecole Normale Super, Dept Math & Applicat, F-75005 Paris, France

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2021年 / 281卷 / 10期

关键词：

Schrodinger-Lohe model; Quantum synchronization; Stochastic perturbation; EQUATIONS;

D O I：

10.1016/j.jfa.2021.109224

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Schrodinger-Lohe model consists of wave functions interacting with each other, according to a system of Schrodinger equations with a specific coupling such that all wave functions evolve on the L-2 unit ball. This model has been extensively studied over the last decade and it was shown that under suitable assumptions on the initial state, if one waits long enough all the wave functions become arbitrarily close to each other, which we call a synchronization. In this paper, we consider a stochastic perturbation of the Schrodinger-Lohe model and show a weak version of synchronization for this perturbed model in the case of two oscillators. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：30

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