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Quantum Zeno Effect and Atomic Population Inversion

Received: 1 October 2018     Accepted: 25 October 2018     Published: 26 November 2018
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Abstract

Quantum Zeno effect can be applied to quantum information processing,and can reveal the nature of quantum measurement. In addition, it has also many potential applications. This suggests that studying the quantum Zeno effect has great theoretical and experimental significance. In this work, the system of a two-level atom interacting with a single mode field is considered and the dynamics of the system subjected to successive projection measurements is studied, and the quantum Zeno effect is presented. Moreover, the influence of the quantum Zeno effect on atomic population inversion is discussed. Based on Schrödinger equation, the survival probability of the initial state of the two-level atom subjected to frequently repeated measurements can be obtained. The survival probability depends on the time interval between measurements. It is seen that the exponential decay of the system under slowly frequent measurements is presented instead of the naturally oscillatory process. For slowly repeated measurements the atomic population inversion and the survival probability of initial state decline rapidly at the early time and then both of them become unchanged. As the time intervals of the measurements are sufficiently short, the quantum Zeno effect occurs. These results have also shown how the measurement can inhibit the atomic population inversion.

Published in American Journal of Modern Physics (Volume 7, Issue 5)
DOI 10.11648/j.ajmp.20180705.12
Page(s) 180-184
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Quantum Zeno Effect, Population Inversion, JC Model

References
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  • APA Style

    Jiu-Ming Li, Bo-Ying Zhang, Xue-Qun Yan. (2018). Quantum Zeno Effect and Atomic Population Inversion. American Journal of Modern Physics, 7(5), 180-184. https://doi.org/10.11648/j.ajmp.20180705.12

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    ACS Style

    Jiu-Ming Li; Bo-Ying Zhang; Xue-Qun Yan. Quantum Zeno Effect and Atomic Population Inversion. Am. J. Mod. Phys. 2018, 7(5), 180-184. doi: 10.11648/j.ajmp.20180705.12

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    AMA Style

    Jiu-Ming Li, Bo-Ying Zhang, Xue-Qun Yan. Quantum Zeno Effect and Atomic Population Inversion. Am J Mod Phys. 2018;7(5):180-184. doi: 10.11648/j.ajmp.20180705.12

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  • @article{10.11648/j.ajmp.20180705.12,
      author = {Jiu-Ming Li and Bo-Ying Zhang and Xue-Qun Yan},
      title = {Quantum Zeno Effect and Atomic Population Inversion},
      journal = {American Journal of Modern Physics},
      volume = {7},
      number = {5},
      pages = {180-184},
      doi = {10.11648/j.ajmp.20180705.12},
      url = {https://doi.org/10.11648/j.ajmp.20180705.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20180705.12},
      abstract = {Quantum Zeno effect can be applied to quantum information processing,and can reveal the nature of quantum measurement. In addition, it has also many potential applications. This suggests that studying the quantum Zeno effect has great theoretical and experimental significance. In this work, the system of a two-level atom interacting with a single mode field is considered and the dynamics of the system subjected to successive projection measurements is studied, and the quantum Zeno effect is presented. Moreover, the influence of the quantum Zeno effect on atomic population inversion is discussed. Based on Schrödinger equation, the survival probability of the initial state of the two-level atom subjected to frequently repeated measurements can be obtained. The survival probability depends on the time interval between measurements. It is seen that the exponential decay of the system under slowly frequent measurements is presented instead of the naturally oscillatory process. For slowly repeated measurements the atomic population inversion and the survival probability of initial state decline rapidly at the early time and then both of them become unchanged. As the time intervals of the measurements are sufficiently short, the quantum Zeno effect occurs. These results have also shown how the measurement can inhibit the atomic population inversion.},
     year = {2018}
    }
    

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  • TY  - JOUR
    T1  - Quantum Zeno Effect and Atomic Population Inversion
    AU  - Jiu-Ming Li
    AU  - Bo-Ying Zhang
    AU  - Xue-Qun Yan
    Y1  - 2018/11/26
    PY  - 2018
    N1  - https://doi.org/10.11648/j.ajmp.20180705.12
    DO  - 10.11648/j.ajmp.20180705.12
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
    SP  - 180
    EP  - 184
    PB  - Science Publishing Group
    SN  - 2326-8891
    UR  - https://doi.org/10.11648/j.ajmp.20180705.12
    AB  - Quantum Zeno effect can be applied to quantum information processing,and can reveal the nature of quantum measurement. In addition, it has also many potential applications. This suggests that studying the quantum Zeno effect has great theoretical and experimental significance. In this work, the system of a two-level atom interacting with a single mode field is considered and the dynamics of the system subjected to successive projection measurements is studied, and the quantum Zeno effect is presented. Moreover, the influence of the quantum Zeno effect on atomic population inversion is discussed. Based on Schrödinger equation, the survival probability of the initial state of the two-level atom subjected to frequently repeated measurements can be obtained. The survival probability depends on the time interval between measurements. It is seen that the exponential decay of the system under slowly frequent measurements is presented instead of the naturally oscillatory process. For slowly repeated measurements the atomic population inversion and the survival probability of initial state decline rapidly at the early time and then both of them become unchanged. As the time intervals of the measurements are sufficiently short, the quantum Zeno effect occurs. These results have also shown how the measurement can inhibit the atomic population inversion.
    VL  - 7
    IS  - 5
    ER  - 

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Author Information
  • School of Science, Tianjin Polytechnic University, Tianjin, China

  • School of Science, Tianjin Polytechnic University, Tianjin, China

  • School of Science, Tianjin Polytechnic University, Tianjin, China

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