Schrodinger-Lohe type models of quantum synchronization with nonidentical oscillators

We study the asymptotic emergent dynamics of two models that can be thought of as extensions of the well known Schrodinger-Lohe model for quantum synchronization. More precisely, the interaction strength between different oscillators is determined by intrinsic parameters, following Cucker-Smale communica-tion protocol. Unlike the original Schrodinger-Lohe system, where the interaction strength was assumed to be uniform, in the cases under our consideration the total mass of each quantum oscillator is allowed to vary in time. A striking consequence of this property is that these extended models yield configura-tions exhibiting phase, but not space, synchronization. The results are mainly based on the analysis of the ODE systems arising from the correlations, control over the well known Cucker-Smale dynamics, and the dynamics satisfied by the quantum order parameter.(c) 2023 Elsevier Inc. All rights reserved.