Research On Synchronization And Identification Of Time-varying Clustering Networks Constituted Of Quantum Systems

In recent years,the research of quantum optical chaos is booming and comprehensive application prospects have been shown in the fields of optomechanics and quantum secret communications.In particular,the investigation on quantum chaotic network including modeling,synchronization and parameter identification has become one of the hot spots in the quantum field.Based on this,the synchronization of time-varying clustering networks constituted by quantum chaotic systems and the identifications of uncertain parameters in quantum systems as well as network topology have been mainly studied in this thesis.The main contents are as follows:First,based on the Lyapunov stability theorem,a kind of universal tracking synchronization controller and parameter identification law are designed optimally to achieve internal synchronization of quantum time-variant clustering networks and identification of unknown parameters in quantum chaotic systems.As an example,Dicke model,Jaynes-Cummings(J-C)model and intra-cavity frequency-doubling Nd:YAG laser are selected as the nodes to construct a clustering network containing fifteen nodes and there exist uncertain parameters in each node.We adopt the fourth-order Runge-Kutta method to complete the numerical simulation.The results show that,using the tracking synchronization controller and parameter identification law proposed in this work,not only the complete synchronization between all nodes within the quantum time-varying clustering network and the target probe can be achieved,but also the values of unknown parameters are also identified accurately,indicating that the designed tracking synchronization controller and the recognizer of unknown parameter are effective.Secondly,the problem of synchronization and identification of quantum clustering networks with uncertain topology is researched,and the general design rule about synchronization controller and topology recognition are given.Similarly,the quantum chaotic models using in the precious chapter are also adopted to construct a clustering network.In this chapter,however,the whole clustering network is considered as a network group and every clustering is thought as subnetwork.Therefore,what is mainly discussed is the outer synchronization among the subnetworks within the clustering network group and the identification of the inner and outer coupling matrix elements in the network group.Matlab software is selected to do numerical analysis,and the results also prove that the designed adaptive synchronous controller and topology recognizer are feasible and efficient.