论文标题
Schrödinger-Lohe类型的量子同步与非相同振荡器的模型
Schrödinger-Lohe type models of quantum synchronization with nonidentical oscillators
论文作者
论文摘要
我们研究了两个模型的渐近新兴动力学，这些动力学可以被认为是量子同步的众所周知的schrödinger-lohe模型的扩展。更准确地说，不同振荡器之间的相互作用强度是在Cucker-Smale通信协议之后通过内在参数确定的。与原始的schrödinger-lohe系统（假定相互作用强度是均匀的系统）不同，在我们考虑的情况下，每个量子振荡器的总质量被允许及时变化。该特性的一个显着结果是，这些扩展模型产生了表现出阶段但没有空间同步的配置。结果主要基于对相关性引起的ode系统的分析，对众所周知的cucker-smale动力学的控制以及量子顺序参数满足的动力学。
We study the asymptotic emergent dynamics of two models that can be thought of as extensions of the well known Schrödinger-Lohe model for quantum synchronization. More precisely, the interaction strength between different oscillators is determined by intrinsic parameters, following Cucker-Smale communication protocol. Unlike the original Schrödinger-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 configurations 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.
