American Journal of Modern Physics

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Quantum Zeno Effect and Atomic Population Inversion

Received: 01 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.

DOI 10.11648/j.ajmp.20180705.12
Published in American Journal of Modern Physics (Volume 7, Issue 5, September 2018)
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), 2024. Published by Science Publishing Group

Keywords

Quantum Zeno Effect, Population Inversion, JC Model

References
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[4] D. Layden, E. Martín-Martínez, and A. Kempf, “Perfect Zeno-like effect through imperfect measurements at a finite frequency”, Phys. Rev. A, 91, 022106(1-6), Febru ary 2015.
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[17] S. Krishnamurthy, Y. Wang, Y. Tu, S. Tseng, and M. S. Shahriar, “High efficiency optical modulation at a telecom wavelength using the quantum Zeno effect in a ladder transition in Rb atoms”, Opt. Express, 20, pp.13798-13809, June 2012.
[18] M. P. Telenkov, Y. A. Mityagin, A. A. Kutsevol, V. V. Agafonov, K. K. Nagaraja, “Intersubband population inversion in Landau level system in resonant tunneling quantum well structures with asymmetric double quantum well period”, JETP Lett., 100, pp.644-647, Januray 2015.
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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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  • 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://download.sciencepg.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
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    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
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    EP  - 184
    PB  - Science Publishing Group
    SN  - 2326-8891
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    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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