Investigation Of Quantum Correlation Of Dissipative Systems In Circuit QED

Based on circuit quantum electrodynamics(QED), the main research includes the following several points.Firstly, time evolution of quantum correlation of dissipative systems in circuit QED is studied. The rusults show:(1)For a purely dephasing decay mode when q =p/ 4, the decoherence time shortens with the increasing photon numbers. While q =0, quantum correlation will be created and prolonged greatly when photon numbers increase. We also find that the interacting stength J can impact the frequency of quantum correlation. Besides, the bigger the initial purity r, the stronger quantum correlation is.(2) For an instantaneous decay mode, quantum correlation always becomes shorter no matter what value q is. Dark and bright periods of quantum entanglement will delay with the increase of the interacting stength J. That is Quantum entanglement is protected. We also prove that quantum discord is more robust that concurrence for any environment modes.Next, we investigate the dynamics of quantum correlation of a hybrid qubits system for correlated dephasing decay mode. Purity and relative phase of initial state and photon numbers in circuit cavity will effect the time evolution of quantum correlation. More importantly, we find that the survival time of quantum correlation will prolong greatly with the increase of correlated rate of qubits 0G. When 02sG = G, Quantum correlation present a constant amplitude oscillation process and successfully overcome the decoherence effect. It is worth mentioning that, quantum discord always keeps positive value even when dark and bright periods of concurrence occurs. So we prove that quantum discord is a better way than concurrence again.Last, we study dynamics of super quantum discord based on quantum weak measurement. We found that,(1) in the correlated dephasing decay mode, super quantum discord as a function of time monotonously tend to a stable value based on purity of initial state and freezing phenomenon of super quantum discord occurs;(2) In the Correlated instantaneous decay, not only a sudden transition but also a freezing phenomenon of super quantum discord exists, and the stable value of freezing is not relevant to purity of initial state.