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Quantum Speed Limit for Dynamics of Central Spin Model with Initial System-Bath Correlations

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Abstract

We investigate the quantum speed limit (QSL) time of an electronic spin coupled to a bath of nuclear spins. We consider three types of initial states with different correlations between the system and bath, i.e., quantum correlation, classical correlation, and no any correlation. Interestingly, we show that the QSL times of the central spin for these three types of initial correlations are identical when the couplings are homogeneous. However, it is remarkable different for inhomogenous couplings. The QSL time of the central spin is sensitive to the initial states, the average coupling strength, the distribution of the couplings between the system and bath and the number of the nuclear spins in the bath. Furthermore, we find that the coherence in the initial state has significant influences on the QSL time of the system, and can lead to the increase of QSL time for homogeneous couplings.

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Acknowledgments

This work is financially supported by National Science Foundation of China (Grants No. 11274043, 11375025 and 11547036).

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Authors and Affiliations

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

    Wen-Jian Yu, Yong-Bo Wei, Lin Li, Jian Zou & Bin Shao

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

    Hai Li

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  1. Wen-Jian Yu
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  2. Yong-Bo Wei
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  3. Hai Li
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  4. Lin Li
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  5. Jian Zou
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Correspondence to Wen-Jian Yu.

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Yu, WJ., Wei, YB., Li, H. et al. Quantum Speed Limit for Dynamics of Central Spin Model with Initial System-Bath Correlations. Int J Theor Phys 55, 4785–4797 (2016). https://doi.org/10.1007/s10773-016-3102-z

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  • DOI: https://doi.org/10.1007/s10773-016-3102-z

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