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Influences of Initial States on Entanglement Dynamics of Two Central Spins in a Spin Environment

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Abstract

We investigate the entanglement dynamics of two electronic spins coupled to a bath of nuclear spins for two special cases, one is that two central spins both interact with a common bath, and the other is that one of two spins interacts with a bath. We consider three types of initial states with different correlations between the system and the bath, i.e., quantum correlation, classical correlation, and no-correlation. We show that the initial correlations (no matter quantum correlations or classical correlations) can effectively avoid the occurrence of entanglement sudden death. Irrespective of whether both two spins or only one of the two spins interacts with the bath, the system can gain more entanglement in the process of the time evolution for initial quantum correlations. In addition, we find that the effects of the distribution of coupling constants on entanglement dynamics crucially depend on the initial state of the spin bath.

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Acknowledgements

This work is financially supported by National Science Foundation of China (Grants No. 11274043, 11375025, 61173173), the National Science Foundation of Shandong Province, China (Grant No. ZR2013AQ013).

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Authors and Affiliations

  1. School of Physics, Beijing Institute of Technology, Beijing, 100081, China

    Wen-Jian Yu, Bao-Ming Xu, Lin Li, Jian Zou & Bin Shao

  2. School of Information and Electronic Engineering, Shandong Institute of Business and Technology, Yantai, 264000, China

    Hai Li

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  1. Wen-Jian Yu
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  2. Bao-Ming Xu
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  3. Lin Li
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  4. Jian Zou
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  5. Hai Li
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Correspondence to Jian Zou.

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Yu, WJ., Xu, BM., Li, L. et al. Influences of Initial States on Entanglement Dynamics of Two Central Spins in a Spin Environment. Int J Theor Phys 55, 1460–1473 (2016). https://doi.org/10.1007/s10773-015-2785-x

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  • DOI: https://doi.org/10.1007/s10773-015-2785-x

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