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 |
Quantum Zeno Effect, Population Inversion, JC Model
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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
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
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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Download@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}
}
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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