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

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

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.

Keywords: XY model quantum phase transitions quantum correlation monogamy relation

Received: 02 February 2018
Revised: 11 March 2018
Accepted manuscript online:

PACS:	03.65.-w	(Quantum mechanics)
	75.50.Gg	(Ferrimagnetics)
	75.10.Pq	(Spin chain models)

Fund: 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.

Corresponding Authors: Meng Qin
E-mail: qrainm@gmail.com

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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 2018 Chin. Phys. B 27 060301

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

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