THE WIGNER-LOHE MODEL FOR QUANTUM SYNCHRONIZATION AND ITS EMERGENT DYNAMICS

被引：8

作者：

Antonelli, Paolo ^{[1
]}

Ha, Seung-Yeal ^{[2
,3
,4
]}

Kim, Dohyun ^{[2
,3
,4
]}

Marcati, Pierangelo ^{[1
]}

机构：

[1] Gran Sasso Sci Inst, Viale F Crispi 7, I-67100 Laquila, Italy

[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[3] Seoul Natl Univ, Res Inst Math, Seoul 151747, South Korea

[4] Korea Inst Adv Study, Hoegiro 87, Seoul 130722, South Korea

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2017年 / 12卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Quantum synchronization; emergent behavior; Wigner equation; quantum hydrodynamics; PHASE-LOCKED STATES; POISSON PROBLEM; KURAMOTO MODEL; SCHRODINGER; POPULATIONS; UNIQUENESS; EXISTENCE; BEHAVIOR; SYSTEM;

D O I：

10.3934/nhm.2017018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present the Wigner-Lohe model for quantum synchronization which can be derived from the Schrodinger-Lohe model using the Wigner formalism. For identical one-body potentials, we provide a priori sufficient framework leading the complete synchronization, in which L-2-distances between all wave functions tend to zero asymptotically.

引用

页码：403 / 416

页数：14

共 42 条

[1] The Kuramoto model:: A simple paradigm for synchronization phenomena [J].