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Decoherence and Relaxation Time of Magnetopolaron in the Presence of Three Dimensional Impurity Under Strong Parabolic Potential

Received: 22 August 2021     Accepted: 3 September 2021     Published: 21 October 2021
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Abstract

In order to protect coherence of quantum states and reduce the impact of environment on quantum information, we investigate decoherence and relaxation time of magnetopolaron in the presence of three dimensional impurity under strong parabolic potential. The first states energies have been evaluated using the Lee Low Pine transformation and Pekar-type variational method. Parameters such as: decoherence time, transition frequency, spontaneous emission, Shannon entropy, relaxation time and probability density, have been evaluated. It has been seen that the impurity and electron-phonon coupling constant have a considerable effect on formation, protection of quantum qubit and quantum transport. The information exchange measured by the rate of Shannon entropy, has a great dependence on impurity and with its interaction with electrons. The relaxation time τr exhibits increasing behavior as a function of, α, β, and ωc. The electron-phonon coupling constant, impurity and cyclotron frequency are useful parameters to prevent decoherence phenomena. This study paves the way to prolong quantum effect in nanostructure and favor the realization of the future quantum computer.

Published in American Journal of Modern Physics (Volume 10, Issue 5)
DOI 10.11648/j.ajmp.20211005.11
Page(s) 101-110
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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), 2021. Published by Science Publishing Group

Keywords

Magnetopolaron, Strong Parabolic Potential, Three Dimensional Impurity, Decoherence, Relaxation Time

References
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Cite This Article
  • APA Style

    Bernard Donfack, Ghislain Tsopgue Tedondje, Tetchoka Manemo Cedric, Cornesse Drugile Guimapi Ngoufack, Alain Jervé Fotue. (2021). Decoherence and Relaxation Time of Magnetopolaron in the Presence of Three Dimensional Impurity Under Strong Parabolic Potential. American Journal of Modern Physics, 10(5), 101-110. https://doi.org/10.11648/j.ajmp.20211005.11

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    ACS Style

    Bernard Donfack; Ghislain Tsopgue Tedondje; Tetchoka Manemo Cedric; Cornesse Drugile Guimapi Ngoufack; Alain Jervé Fotue. Decoherence and Relaxation Time of Magnetopolaron in the Presence of Three Dimensional Impurity Under Strong Parabolic Potential. Am. J. Mod. Phys. 2021, 10(5), 101-110. doi: 10.11648/j.ajmp.20211005.11

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    AMA Style

    Bernard Donfack, Ghislain Tsopgue Tedondje, Tetchoka Manemo Cedric, Cornesse Drugile Guimapi Ngoufack, Alain Jervé Fotue. Decoherence and Relaxation Time of Magnetopolaron in the Presence of Three Dimensional Impurity Under Strong Parabolic Potential. Am J Mod Phys. 2021;10(5):101-110. doi: 10.11648/j.ajmp.20211005.11

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  • @article{10.11648/j.ajmp.20211005.11,
      author = {Bernard Donfack and Ghislain Tsopgue Tedondje and Tetchoka Manemo Cedric and Cornesse Drugile Guimapi Ngoufack and Alain Jervé Fotue},
      title = {Decoherence and Relaxation Time of Magnetopolaron in the Presence of Three Dimensional Impurity Under Strong Parabolic Potential},
      journal = {American Journal of Modern Physics},
      volume = {10},
      number = {5},
      pages = {101-110},
      doi = {10.11648/j.ajmp.20211005.11},
      url = {https://doi.org/10.11648/j.ajmp.20211005.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20211005.11},
      abstract = {In order to protect coherence of quantum states and reduce the impact of environment on quantum information, we investigate decoherence and relaxation time of magnetopolaron in the presence of three dimensional impurity under strong parabolic potential. The first states energies have been evaluated using the Lee Low Pine transformation and Pekar-type variational method. Parameters such as: decoherence time, transition frequency, spontaneous emission, Shannon entropy, relaxation time and probability density, have been evaluated. It has been seen that the impurity and electron-phonon coupling constant have a considerable effect on formation, protection of quantum qubit and quantum transport. The information exchange measured by the rate of Shannon entropy, has a great dependence on impurity and with its interaction with electrons. The relaxation time τr exhibits increasing behavior as a function of, α, β, and ωc. The electron-phonon coupling constant, impurity and cyclotron frequency are useful parameters to prevent decoherence phenomena. This study paves the way to prolong quantum effect in nanostructure and favor the realization of the future quantum computer.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - Decoherence and Relaxation Time of Magnetopolaron in the Presence of Three Dimensional Impurity Under Strong Parabolic Potential
    AU  - Bernard Donfack
    AU  - Ghislain Tsopgue Tedondje
    AU  - Tetchoka Manemo Cedric
    AU  - Cornesse Drugile Guimapi Ngoufack
    AU  - Alain Jervé Fotue
    Y1  - 2021/10/21
    PY  - 2021
    N1  - https://doi.org/10.11648/j.ajmp.20211005.11
    DO  - 10.11648/j.ajmp.20211005.11
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
    SP  - 101
    EP  - 110
    PB  - Science Publishing Group
    SN  - 2326-8891
    UR  - https://doi.org/10.11648/j.ajmp.20211005.11
    AB  - In order to protect coherence of quantum states and reduce the impact of environment on quantum information, we investigate decoherence and relaxation time of magnetopolaron in the presence of three dimensional impurity under strong parabolic potential. The first states energies have been evaluated using the Lee Low Pine transformation and Pekar-type variational method. Parameters such as: decoherence time, transition frequency, spontaneous emission, Shannon entropy, relaxation time and probability density, have been evaluated. It has been seen that the impurity and electron-phonon coupling constant have a considerable effect on formation, protection of quantum qubit and quantum transport. The information exchange measured by the rate of Shannon entropy, has a great dependence on impurity and with its interaction with electrons. The relaxation time τr exhibits increasing behavior as a function of, α, β, and ωc. The electron-phonon coupling constant, impurity and cyclotron frequency are useful parameters to prevent decoherence phenomena. This study paves the way to prolong quantum effect in nanostructure and favor the realization of the future quantum computer.
    VL  - 10
    IS  - 5
    ER  - 

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Author Information
  • Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

  • Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

  • Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

  • Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

  • Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

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