The Wigner-Lohe model for quantum synchronization and its emergent dynamics
Analysis of PDEs
2017-02-14 v1 Mathematical Physics
math.MP
Abstract
We present the Wigner-Lohe model for quantum synchronization which can be derived from the Schr\"{o}dinger-Lohe model using the Wigner formalism. For identical one-body potentials, we provide a priori sufficient framework leading the complete synchronization, in which -distances between all wave functions tend to zero asymptotically.
Cite
@article{arxiv.1702.03835,
title = {The Wigner-Lohe model for quantum synchronization and its emergent dynamics},
author = {Paolo Antonelli and Seung-Yeal Ha and Dohyun Kim and Pierangelo Marcati},
journal= {arXiv preprint arXiv:1702.03835},
year = {2017}
}
Comments
14 pages