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Impact of \(\mathcal {P}\mathcal {T}\)-Symmetric Operation on Concurrence and the First-Order Coherence

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Abstract

In this paper, we lock the focus in effect of \(\mathcal {P}\mathcal {T}\)-symmetric operation on the dynamics of concurrence and the first-order coherence for Heisenberg XY model. We discover the complementarity between concurrence and the first-order coherence. And the complementarity indicates that \(\mathcal {P}\mathcal {T}\)-symmetric operation induces enhancement of coherence at the expense of concurrence loss in Heisenberg XY model. Meanwhile, we find that coherence under \(\mathcal {P}\mathcal {T}\)-symmetric operation can be recovred in a certain range of time dependent parameter, thus we can choose some special \(\mathcal {P}\mathcal {T}\)-symmetric operation to make the coherence maximum. Our analysis yields the result that the quadratic sum of these two resources can be improved via \(\mathcal {P}\mathcal {T}\)-symmetric operation. Both temperature and parameter of \(\mathcal {P}\mathcal {T}\)-symmetric operation will change the magnitude of the increment in the quadratic sum of concurrence and the first-order coherence.

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Acknowledgements

This work was supported by the National Science Foundation of China (Grant Nos. 11575001, 61601002 and 11847020), Anhui Provincial Natural Science Foundation (Grant No. 1508085QF139) and Natural Science Foundation of Education Department of Anhui Province (Grant No. KJ2016SD49), and also the fund from CAS Key Laboratory of Quantum Information (Grant No. KQI201701).

Funding

National Science Foundation of China; Nos. 11575001.

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Authors and Affiliations

  1. School of Physics & Material Science, Anhui University, Hefei, 230601, China

    Wan-Yue Li & Liu Ye

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  1. Wan-Yue Li
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  2. Liu Ye
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Wan-Yue Li and Liu Ye made almost equal contributions to the paper.

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Correspondence to Liu Ye.

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Li, WY., Ye, L. Impact of \(\mathcal {P}\mathcal {T}\)-Symmetric Operation on Concurrence and the First-Order Coherence. Int J Theor Phys 60, 2878–2888 (2021). https://doi.org/10.1007/s10773-021-04883-0

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  • DOI: https://doi.org/10.1007/s10773-021-04883-0

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