# The Wigner-Lohe model for quantum synchronization and its emergent dynamics

## TL;DR

This paper introduces the Wigner-Lohe model for quantum synchronization, derived from the Schrödinger-Lohe model via the Wigner formalism, and establishes conditions for complete synchronization in identical potential systems.

## Contribution

It presents a new Wigner-based model for quantum synchronization and provides a theoretical framework for asymptotic complete synchronization.

## Key findings

- L^2-distances between wave functions tend to zero asymptotically
- Framework for complete synchronization in identical potential systems
- Derivation of the Wigner-Lohe model from the Schrödinger-Lohe model

## 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 $L^2$-distances between all wave functions tend to zero asymptotically.