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Dynamics of Einstein-Podolsky-Rosen Steering in Quantum Spin Environment

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Abstract

We explore the dynamics of Einstein-Podolsky-Rosen steering (EPR), measured by steering robustness, for two spin-qubits coupled to a general XY spin chain environment. The evolution process is numerically investigated in the vicinity of critical point for the spin environment. The results show an obvious suppression of steering robustness when the environment undergoes a quantum phase transition. The scaling behavior for the dynamics of EPR steering is also revealed and analyzed around the critical point. Furthermore, we find that steering robustness power (i.e. the average value of steering robustness within a certain time) can indicate the quantum criticality of the environment directly.

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Acknowledgments

This work is supported by the Jiangsu Government Scholarship for Overseas Studies and Science Foundation of Nanjing University of Posts and Telecommunication (Grants No. NY218005).

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Authors and Affiliations

  1. Institute of Signal Processing & Transmission, Nanjing University of Posts and Telecommunication, Nanjing, 210003, China

    W. F. Wang, K. Wang & W. W. Cheng

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  1. W. F. Wang
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  2. K. Wang
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  3. W. W. Cheng
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Correspondence to W. W. Cheng.

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Wang, W.F., Wang, K. & Cheng, W.W. Dynamics of Einstein-Podolsky-Rosen Steering in Quantum Spin Environment. Int J Theor Phys 58, 4069–4078 (2019). https://doi.org/10.1007/s10773-019-04273-7

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  • DOI: https://doi.org/10.1007/s10773-019-04273-7

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