Time-Delay Synchronization And Parameter And Topology Recognition Of Quantum Networks

As we all know,application of quantum mechanics is becoming more and more comprehensive.Many chaotic phenomena have been found in different fields of quantum optics,which results in that the investigation on quantum optical chaos has become one of the hot topics.Especially,in recent years,the researches on synchronization and parameter identification of quantum network composed of quantum chaotic systems are of important scientific significance and application prospects in the fields of optomechanical system and secure communication.Therefore in this thesis,the synchronization and parameter identification of quantum chaotic network constituted by Jaynes-Cummings(J-C)and Dicke systems have been investigated.The optimal designs of synchronization controller and parameter identification law with different delay time among nodes have been analyzed in detail.The specific works include:Firstly,based on the Lyapunov stability principle,a tracking synchronization technique for quantum delay networks is proposed,including the optimal designs of synchronization controller and parameter recognizer.Using our technology,the synchronization between the uncertain delay network and the target system can be realized perfectly and the unknown parameters in the quantum systems can also be identified simultaneously and accurately even if each node in the network has different delay amount.Finally,nine J-C chaotic models are adopted as nodes to construct an uncertain scale-free delay network,and there exists different delay time for each network node.The simulation results show that,based on the delay synchronization principle and parameter recognizer proposed in our thesis,the synchronization between the quantum chaotic network with different delay amounts and the target system is realized and the unknown parameters of all J-C chaotic models are also identified,which proves that the designed synchronization controller and parameter recognizer for delay quantum network are reasonable and efficient.Secondly,eleven quantum Dicke chaotic models with different delay times are utilized as nodes to constitute a quantum chaotic network for which the topology is unknown.Based on Lyapunov function and improved sliding model control technology,the external synchronization controller and topology recognizer between delay chaotic networks are optimally designed.The simulation results show that,according to the synchronization controller and parameter recognizer proposed in this work,not only the perfect synchronization between quantum chaotic networks is realized,but also the topology of the target network is identified accurately.That is,the proposed external control technology andtopology recognition technology of delay quantum chaotic networks are effective and feasible.