Monogamy of quantum correlations in the one-dimensional anisotropic XY model

XU Shuai; SONG Xueke; YE Liu

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Monogamy of quantum correlations in the one-dimensional anisotropic XY model

XU Shuai #,SONG Xueke,YE Liu *

School of Physics & Material Science, Anhui University, Hefei 230039

*Correspondence author

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Funding: the National Science Foundation of China（No.No. 11074002 and No. 61275119）, the Personal Development Foundation of Anhui Province（No.2008Z018）, the Doctoral Foundation of the Ministry of Education of China（No.No. 20103401110003）

Opened online:24 April 2013

Accepted by: none

Citation: XU Shuai,SONG Xueke,YE Liu.Monogamy of quantum correlations in the one-dimensional anisotropic XY model[OL]. [24 April 2013] http://en.paper.edu.cn/en_releasepaper/content/4538546

In this paper, the witnesses of monogamy for some quantum correlation, including the geometric quantum discord, concurrence, entanglement of formation and entropy quantum discord, in the anisotropic spin-1/2 XY model with staggered Dzyaloshinskii-Moriya (DM) interaction have been investigated by employing the quantum renormalization-group method. We summarize the monogamy for different measures, and make an explicit comparison. Furthermore, through mathematical calculations and analysis, we observe that no matter how many the iteration of renormalization group is, the monogamy of the given states are always unaltered. Moreover, we give out a conclusion that the geometric quantum discord and concurrence of the given states obey the monogamy property while other quantum correlation measures for this model such as entanglement of formation and quantum discord violate it.

Keywords:monogamy relation; geometric quantum discord; entanglement of formation; entropy quantum discord

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