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

Abstract

We present the Wigner-Lohe model for quantum synchronization which can be derived from the Schrödinger-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.

14 pages

References in corpus (2)

• The Quantum Internet
• Quantum Stochastic Synchronization