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Quantum acceleration by an ancillary system in non-Markovian environments

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Abstract

We study the effect of an ancillary system on the quantum speed limit time in different non-Markovian environments. Through employing an ancillary system coupled with the quantum system of interest via hopping interaction and investigating the cases that both the quantum system and ancillary system interact with their independent/common environment, and the case that only the system of interest interacts with the environment, we find that the quantum speed limit time will become shorter with enhancing the interaction between the system and environment and show periodic oscillation phenomena along with the hopping interaction between the quantum system and ancillary system increasing. The results indicate that the hopping interaction with the ancillary system and the structure of environment determine the degree of which the evolution of the quantum system can be accelerated.

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Acknowledgements

This work was supported by the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi under Grant No. 2019L0527. Yu was supported by the National Natural Science Foundation of China under Grant No. 11775040.

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Authors and Affiliations

  1. School of Science, North University of China, Taiyuan, 030051, China

    Jinna Fan & Shaoxiong Wu

  2. School of Physics, Dalian University of Technology, Dalian, 116024, China

    Chang-shui Yu

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  1. Jinna Fan
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Correspondence to Shaoxiong Wu.

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Fan, J., Wu, S. & Yu, Cs. Quantum acceleration by an ancillary system in non-Markovian environments. Quantum Inf Process 20, 9 (2021). https://doi.org/10.1007/s11128-020-02964-3

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