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
收藏
页码：403 / 416
页数：14
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