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Quantum Correlation Properties in Two Qubits One-axis Spin Squeezing Model

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Abstract

Using the concurrence (C) and quantum discord (QD) criterions, the quantum correlation properties in two qubits one-axis spin squeezing model with an external magnetic field are investigated. It is found that one obvious difference in the limit case T → 0 (ground state) is the sudden disappearance phenomenon (SDP) occured in the behavior of C, while not in QD. In order to further explain the SDP, we obtain the analytic expressions of ground state C and QD which reveal that the SDP is not really “entanglement sudden disappeared”, it is decayed to zero very quickly. Proper tuning the parameters μ(the spin squeezing interaction in x direction) and Ω(the external magnetic field in z direction) not only can obviously broaden the scope of ground state C exists but also can enhance the value of ground state QD. For the finite temperature case, one evident difference is that the sudden birth phenomenon (SBP) is appeared in the evolution of C, while not in QD, and decreasing the coupling parameters μ or Ω can obviously prolong the time interval before entanglement sudden birth. The value of C and QD are both enhanced by increasing the parameters μ or Ω in finite temperature case. In addition, through investigating the effects of temperature T on the quantum correlation properties with the variation of Ω and μ, one can find that the temperature scope of C and QD exists are broadened with increasing the parameters μ or Ω, and one can obtain the quantum correlation at higher temperature through changing these parameters.

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Acknowledgment

This project was supported by the Natural Science Foundation for Young Scientists of Shanxi Province, China (Grant No. 2012021003-3) and the special funds of the National Natural Foundation of China (Grant No. 11247247).

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  1. School of Physics and Information Engineering, Shanxi Normal University, Linfen, 041004, People’s Republic of China

    Yang Guo-Hui

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  1. Yang Guo-Hui
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Correspondence to Yang Guo-Hui.

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Guo-Hui, Y. Quantum Correlation Properties in Two Qubits One-axis Spin Squeezing Model. Int J Theor Phys 56, 600–608 (2017). https://doi.org/10.1007/s10773-016-3201-x

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  • DOI: https://doi.org/10.1007/s10773-016-3201-x

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