Monogamy quantum correlation near the quantum phase transitions in the two-dimensional XY spin systems

作     者：Meng Qin Zhongzhou Ren Xin Zhang 秦猛;任中洲;张欣

作者机构：Department of General Education Army Engineering University of PLA Nanjing 211101 China Department of Physics Nanfing University Nanjing 210093 China School of Physics Science and Engineering Tongji University Shanghai 200092 China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2018年第27卷第6期

页      面：137-144页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：supported by the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20171397) the National Natural Science Foundation of China(Grant Nos.11535004,11375086,1175085,and 11120101005) the Foundation for Encouragement of College of Sciences(Grant No.LYLZJJ1616) the Pre-research Foundation of Army Engineering University of PLA 

主　　题：XY model quantum phase transitions quantum correlation monogamy relation 

摘      要：We investigate the role of quantum correlation around the quantum phase transitions by using quantum renormalization group theory. Numerical analysis indicates that quantum correlation as well as quantum nonlocality can efficiently detect the quantum critical point in the two-dimensional XY systems. The nonanalytic behavior of the first derivative of quantum correlation is observed at the critical point as the size of the model increases. Furthermore, we discuss the quantum correlation distribution in this system based on the square of concurrence（SC） and square of quantum discord（SQD）. The monogamous properties of SC and SQD are obtained. Particularly, we prove that the quantum critical point can also be achieved by monogamy score.