Research On Synchronization And Identifications Of Parameters And Topology Of Quantum Chaotic Network

Up to now,the study in modeling,control and synchronization of classical optical chaos is driving to maturity stage.On this basis,the relevant theories and methods of quantum optical chaos have just started,and gradually become the hot topic.In recent years,more and more chaos phenomena in the quantum domain have been found,and in many areas quantum chaos shows an unpredictable potential in applications.Therefore,the study of quantum chaos has great scientific significance and application value,especially the synchronization between quantum chaotic systems.The main contents of this paper are as follows:Firstly,propose a general scheme to synchronize the chaotic systems within quantum time-variant network and target system,the main task is to design the efficient synchronization controller and identification law based on Lyapunov stability theorem.In this part,not only the synchronization between the time-variant network has been realized,but the uncertain parameters belonging to the quantum chaos network also be identified.The uncertain quantum time-variant network consisting of ten Dicke models is constructed by N-W small world model,and each node in the network has a unknown parameter.Correspondingly,the target systems is also the Dicke model.The simulation results show that the synchronization between the all nodes of the quantum chaos network and the target system and the identification of undetermined parameter can be realized perfectly according to our scheme,even though the topology of the complex quantum network varies repeatedly.Then,we utilize the quantum J-C(Jaynes-Cummings)chaotic model as the node model of the quantum chaotic network to construct the target network of which the topology is unknown,and the strength and direction of coupling are indefinite.In the meantime,construct a known quantum chaos network as the target network.Using the improved sliding model control technology,the synchronization controller and topological structure recognizer are optimally designed.The consequences show that the external synchronization between the target and response networks can get the implementation quickly,the identification of the topology of the target network can be achieved rapidly,too.It's confirmed that the synchronization technology we proposed is high-effective.