Nonclassicality Indicators of Quantum Phase Transition in the XY Model with Dzyaloshinskii-Moriya Interaction

In this paper, performance of the important quantum correlation measures shared by the next-to-neighbor qubits of the XY model with Dzyaloshinskii-Moriya (DM) interaction has been investigated, employing quantum renormalization group method. Through analyzing the effect of DM interaction and anisotropy parameters on the quantum discord (QD) and measurement-induced disturbance (MID), we find that MID fails to symbolize the characteristics of quantum correlation for the system. While performance of the improved version of MID, i.e. ameliorated MID (AMID), delivers more dependable consequences. On the other hand, take QD as an example we have illustrated that it can efficiently observe the quantum critical points associated with quantum phase transitions after several iterations of the renormalization. To serve as the further insight, the nonanalytic and scaling behaviors of the QD are also taken into consideration.