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

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

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), 2024. Published by Science Publishing Group

Keywords

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

References

[1]	Li, Shu-Shen, Jian-Bai Xia, Jin-Long Liu, Fu-Hua Yang, Zhi-Chuan Niu, Song-Lin Feng, and Hou-Zhi Zheng. "InAs/GaAs single-electron quantum dot qubit." Journal of Applied physics 90, no. 12 (2001): 6151-6155.
[2]	Petta, J. R., Johnson, A. C., Taylor, J. M., Laird, E. A., Yacoby, A., Lukin, M. D.,... & Gossard, A. C. (2005). Coherent manipulation of coupled electron spins in semiconductor quantum dots. Science, 309 (5744), 2180-2184.
[3]	Varwig, S., René, A., Greilich, A., Yakovlev, D. R., Reuter, D., Wieck, A. D., & Bayer, M. (2013). Temperature dependence of hole spin coherence in (In, Ga) As quantum dots measured by mode-locking and echo techniques. Physical Review B, 87 (11), 115307.
[4]	Sun, Y., & Xiao, J. L. (2019). The magnetic field effect on the coherence time of qubit in RbCl crystal quantum pseudodot. Optical and Quantum Electronics, 51 (4), 110.
[5]	Xiao, J. L. (2019). The effect of Coulomb impurity potential on the coherence time of RbCl quantum pseudodot qubit. Journal of Low Temperature Physics, 195 (5-6), 442-449.
[6]	Ma, X. J., & Xiao, J. L. (2018). Temperature effects of the electron probability density on quantum pseudodot qubit. Optical and Quantum Electronics, 50 (3), 144.
[7]	Xiao, J. L. (2018). The effects of hydrogen-like impurity and temperature on state energies and transition frequency of strong-coupling bound polaron in an asymmetric Gaussian potential quantum well. Journal of Low Temperature Physics, 192 (1-2), 41-47.
[8]	J. P. Barnes, & W. S. Warrenc Decoherence and programmable quantum computation\u201d, Phys. Rev. A 60, 6, 4363-4374 (1999); quant-ph/9902084.61.
[9]	Machnikowski, P. (2008). Coherent control and decoherence of charge states in quantum dots. In Condensed Matter Physics In The Prime Of The 21st Century: Phenomena, Materials, Ideas, Methods (pp. 119-158).
[10]	Yu, T., & Eberly, J. H. (2006). Quantum open system theory: bipartite aspects. Physical review letters, 97 (14), 140403.
[11]	Jordan, S. P., Farhi, E., & Shor, P. W. (2006). Error-correcting codes for adiabatic quantum computation. Physical Review A, 74 (5), 052322.
[12]	Xiao, J. L. (2016). Effects of temperature and hydrogen-like impurity on the coherence time of RbCl parabolic quantum dot qubit. Superlattices and Microstructures, 90, 308-312.
[13]	Barkhouse, D. A. R., Debnath, R., Kramer, I. J., Zhitomirsky, D., Pattantyus-Abraham, A. G., Levina, L.,...& Sargent, E. H. (2011). Depleted bulk heterojunction colloidal quantum dot photovoltaics. Advanced Materials, 23 (28), 3134-3138.
[14]	Shalom, M., Albero, J., Tachan, Z., Martínez-Ferrero, E., Zaban, A., & Palomares, E. (2010). Quantum dot− dye bilayer-sensitized solar cells: breaking the limits imposed by the low absorbance of dye monolayers. The journal of physical chemistry letters, 1 (7), 11341138.
[15]	Maune, B. M., Borselli, M. G., Huang, B., Ladd, T. D., Deelman, P. W., Holabird, K. S.,...& Sokolich, M. (2012). Coherent singlet-triplet oscillations in a silicon-based double quantum dot. Nature, 481 (7381), 344-347.
[16]	Hansom, J., Schulte, C. H., Le Gall, C., Matthiesen, C., Clarke, E., Hugues, M.,... & Atatüre, M. (2014). Environment-assisted quantum control of a solid-state spin via coherent dark states. Nature Physics, 10 (10), 725-730.
[17]	Li, S. S., & Xia, J. B. (2007). Binding energy of a hydrogenic donor impurity in a rectangular parallelepiped-shaped quantum dot: quantum confinement and Stark effects. Journal of applied physics, 101 (9), 093716.
[18]	Datta, N. K., & Ghosh, M. (2011). Excitations in doped quantum dot induced by randomly fluctuating magnetic field: influence of impurity. The European Physical Journal B, 80 (1), 95-103.
[19]	Wang, C. S., & Xiao, J. L. (2012). Transition frequency of weak-coupling impurity bound magnetopolaron in an anisotropic quantum dot. Modern Physics Letters B, 26 (01), 1150003.
[20]	Xiao, J. L. (2014). Influences of temperature and impurity on excited state of bound polaron in the parabolic quantum dots. Superlattices and Microstructures, 70, 39-45.
[21]	Ma, X. J., Qi, B., & Xiao, J. L. (2015). Coulomb impurity potential RbCl quantum pseudodot qubit. Journal of Low Temperature Physics, 180 (3-4), 315-320.
[22]	Sharkey, J. J., Yoo, C. K., Peter, A. J.: Magnetic ﬁeld induced diamagnetic susceptibility of a hydrogenic donor in a GaN/AlGaN quantum dot. Superlatt. Microstruct. 48, 248–255 (2010).
[23]	Bryant, G. W.: Hydrogenic impurity states in quantum-well wires: shape effects. Phys. Rev. B 31, 7812–7818 (1985).
[24]	Bastard, G.: Superlattice band structure in the envelope-function approximation. Phys. Rev. B 24, 5693–5697 (1981).
[25]	Leonora, J. M., & Peter, A. J. (2010). The effect of magnetic field on acceptor impurity in a diluted magnetic quantum well system. Solid state communications, 150 (1-2), 30-35.
[26]	Crnjanski, J. V., Gvozdic, D. M.: Self-consistent treatment of Vgroove quantum wire band structure in non parabolic approximation. Serb. J. Electr. Eng. 1, 69–77 (2004).
[27]	Chuu, D. S., Hsiao, C. M., Mei, W. N.: Hydrogenic impurity states in quantum dots and quantum wires. Phys. Rev. B 46, 3898–3905 (1992).
[28]	Zhu, J. L. (1989). Exact solutions for hydrogenic donor states in a spherically rectangular quantum well. Physical Review B, 39 (12), 8780.
[29]	Jayam, S. G., & Navaneethakrishnan, K. (2003). Effects of electric field and hydrostatic pressure on donor binding energies in a spherical quantum dot. Solid State Communications, 126 (12), 681-685.
[30]	Khordad, R., Bahramiyan, H.: Study of impurity position effect in pyramid and cone like quantum dots. Eur. Phys. J. Appl. Phys. 67, 20402–20408 (2014).
[31]	Oyoko, H. O., Duque, C. A., Montenegro, N. P.: Uniaxial stress dependence of the binding energy of shallow donor impurities in GaAs (Ga, Al) Asquantumdots. J. Appl. Phys. 90, 819–823 (2001).
[32]	DONFACK, B., FOTIO, F., FOTUE, A., & Fai, L. C. (2020). Cumulative effects of temperature, magnetic field and Spin orbit Interaction (SOI) on the properties of magnetopolaron in RbCl quantum well. Chinese Journal of Physics.
[33]	Liang, Z. H., Qi, B., & Xiao, J. L. (2015). The effect of hydrogen-like impurity on RbCl asymmetric quantum dot qubit. Indian Journal of Physics, 89 (12), 1247-1250.
[34]	Fotue, A. J., Kenfack, S. C., Issofa, N., Tiotsop, M., Djemmo, M. P. T., Wirngo, A. V.,...& Fai, L. C. (2015). Decoherence of polaron in asymmetric quantum dot qubit under an electromagnetic field. Am J Mod Phys, 4 (3), 138-148.
[35]	Sun, J. K., Li, H. J., & Xiao, J. L. (2009). Decoherence of the Triangular Bound Potential Quantum Dot Qubit. Modern Physics Letters B, 23 (27), 3273-3279.
[36]	Li, Z. X. (2012). Temperature-dependence of strong-coupled bound polaron in a triangular potential quantum dot. Modern Physics Letters B, 26 (03), 1150015.
[37]	Xie, W. F. (2004). Condensed Matter: Electronic Structure, Electrical, Magnetic, and Optical Properties-Two Interacting Electrons in a Spherical Gaussian Confining Potential Quantum Well. Communications in Theoretical Physics, 42 (1), 151-154.
[38]	Adamowski, J., Sobkowicz, M., Szafran, B., & Bednarek, S. (2000). Electron pair in a Gaussian confining potential. Physical Review B, 62 (7), 4234.
[39]	Cahay, M., & Bandyopadhyay, S. (2017). Problem Solving in Quantum Mechanics: From Basics to Real-world Applications for Materials Scientists, Applied Physicists, and Devices Engineers. John Wiley & Sons.
[40]	Khordad, R., Sedehi, H. R., & Bahramiyan, H. (2018). Effects of impurity and crosssectional shape on entropy of quantum wires. Journal of Computational Electronics, 17 (2), 551-561.
[41]	Bai, X. F., Xin, W., & Yin, H. W. (2017). Electromagnetic-field dependence of the internal excited state of the polaron and the qubit in quantum dot with thickness. Journal of the Korean Physical Society, 70 (11), 956-961.
[42]	Xin, W., & Wang, G. S. (2018). Impurity, LO Phonon and Thickness Effects on the Transition of an Electron in a Gaussian Confinement Potential DQD with a Magnetic Field. Journal of Low Temperature Physics, 193 (1-2), 48-59.
[43]	Kenfack, S. C., Fotué, A. J., Fobasso, M. F. C., Bawe Jr, G. N., & Fai, L. C. (2017). Shannon entropy and decoherence of polaron in asymmetric polar semiconductor quantum wire. Superlattices and Microstructures, 111, 32-44.

Cite This Article

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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  -

Copy | Download

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

Download PDF

Sections

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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  -

Copy | Download