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

Bernard Donfack; Ghislain Tsopgue Tedondje; Tetchoka Manemo Cedric; Cornesse Drugile Guimapi Ngoufack; Alain Jervé Fotue

doi:doi:10.11648/j.ajmp.20211005.11

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

Bernard Donfack, Ghislain Tsopgue Tedondje, Tetchoka Manemo Cedric, Cornesse Drugile Guimapi Ngoufack, Alain Jervé Fotue

Published in American Journal of Modern Physics (Volume 10, Issue 5)

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 τ_r exhibits increasing behavior as a function of, α, β, and ω_c. 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
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), 2021. Published by Science Publishing Group

Keywords

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

References

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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

Bernard Donfack

Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
Ghislain Tsopgue Tedondje

Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
Tetchoka Manemo Cedric

Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
Cornesse Drugile Guimapi Ngoufack

Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
Alain Jervé Fotue

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

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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}
}

Copy | Download

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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