Properties Of Quantum Correlations In One Dimensional Kicked Ising Model

In recent years, quantum entanglement is widely believed to be a useful resource in implementing quantum computation and information tasks. Quantum entanglement is seen as a quantum correlations, but we can’t believe that all the quantum correlations are quantum entanglement. In this thesis, we study the properties of quantum correlations properties and discussed the relationship between quantum correlations and quantum chaos in the one-dimensional Ising model.We use Jordan-Wigner transformation to calculation the concurrence, quantum discord and Q measure of the ground state in the one-dimensional Ising model. Then, we analyze the characterization of concurrence, quantum discord and Q measure of the ground state, respectively. In addition, the concurrence, quantum discord and Q measure of the ground state that leads to the characterization of the quantum phase transition of the system. We use Jordan-Wigner transformation to analyze these dynamic characteristics of quantum correlations in the one-dimensional transverse Ising model. In the second place, we analyze these dynamic characteristics of quantum correlations in the one-dimensional Ising model with a tilted magnetic field. And then, we use the nearest neighbor level spacing distribution to showing both integable and nonintegrable behaviors of the system. Besides we can find that the relationship between quantum correlations and quantum chaos. At last, we give the result of dynamic characteristics of concurrence, quantum discord and Q measure in the one-dimensional kicked Ising model.