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

doi:10.1088/1674-1056/27/6/060301

中国物理B ›› 2018, Vol. 27 ›› Issue (6): 60301-060301.doi: 10.1088/1674-1056/27/6/060301

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

Meng Qin(秦猛), Zhongzhou Ren(任中洲), Xin Zhang(张欣)

1 Department of General Education, Army Engineering University of PLA, Nanjing 211101, China;
2 Department of Physics, Nanjing University, Nanjing 210093, China;
3 School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

收稿日期:2018-02-02 修回日期:2018-03-11 出版日期:2018-06-05 发布日期:2018-06-05
通讯作者: Meng Qin E-mail:qrainm@gmail.com
基金资助:
Project 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),and the Pre-research Foundation of Army Engineering University of PLA.

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

Meng Qin(秦猛)¹, Zhongzhou Ren(任中洲)^2,3, Xin Zhang(张欣)²

1 Department of General Education, Army Engineering University of PLA, Nanjing 211101, China;
2 Department of Physics, Nanjing University, Nanjing 210093, China;
3 School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

Received:2018-02-02 Revised:2018-03-11 Online:2018-06-05 Published:2018-06-05
Contact: Meng Qin E-mail:qrainm@gmail.com
Supported by:
Project 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),and the Pre-research Foundation of Army Engineering University of PLA.

摘要/Abstract

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.

关键词: XY model, quantum phase transitions, quantum correlation, monogamy relation

Abstract: 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.

Key words: XY model, quantum phase transitions, quantum correlation, monogamy relation

中图分类号: (Quantum mechanics)

03.65.-w

75.50.Gg (Ferrimagnetics) 75.10.Pq (Spin chain models)

秦猛, 任中洲, 张欣. Monogamy quantum correlation near the quantum phase transitions in the two-dimensional XY spin systems[J]. 中国物理B, 2018, 27(6): 60301-060301.

Meng Qin(秦猛), Zhongzhou Ren(任中洲), Xin Zhang(张欣). Monogamy quantum correlation near the quantum phase transitions in the two-dimensional XY spin systems[J]. Chin. Phys. B, 2018, 27(6): 60301-060301.

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

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