The Thermo-field Dynamics Method for Electron with Two-mode Electromagnetic Field

Ahlem Abidi

doi:doi:10.11648/j.ajpa.20231101.13

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The Thermo-field Dynamics Method for Electron with Two-mode Electromagnetic Field

Ahlem Abidi

Published in American Journal of Physics and Applications (Volume 11, Issue 1)

Received: 25 January 2023 Accepted: 20 February 2023 Published: 31 March 2023

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Abstract

The quick progress in quantum entanglement research allows us not one to study quantum systems down to N-bodies but also to take a new look at these systems in different branches of physics; particularly the statistical thermodynamics where the application of the thermo-field dynamics (TFD) method to the investigation of entanglement is fruitful. Because the traditional methods based on the identification of a specific parameter show their limit. The process using (TFD) facilitates the understanding of entanglement because it focuses directly on the eigenstate of the system and it is useful in the equilibrium and the non-equilibrium states also. In this context, the (TFD) method is used in this paper to analyze entanglement of an electron interacting with a two-mode electromagnetic field assimilated to an electron with two harmonic oscillators. Entanglement entropies are derived between concerned, not concerned harmonic oscillator and electron compute when the system is in a thermodynamic equilibrium and non-equilibrium state. For the equilibrium case, an increase in the number of particles per unit volume increases the quantum entanglement consequently entanglement appears more important for the couple oscillator-electron than the one electron, this trend is reversed for the non-equilibrium case. By respecting the entanglement parameters, such results allow us to know the relative equilibrium state of the overall system.

Published in	American Journal of Physics and Applications (Volume 11, Issue 1)
DOI	10.11648/j.ajpa.20231101.13
Page(s)	21-30
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

Entanglement, Equilibrium and Non-equilibrium Thermodynamic State, Electron-two Harmonic Oscillators

References

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APA Style

Ahlem Abidi. (2023). The Thermo-field Dynamics Method for Electron with Two-mode Electromagnetic Field. American Journal of Physics and Applications, 11(1), 21-30. https://doi.org/10.11648/j.ajpa.20231101.13

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ACS Style

Ahlem Abidi. The Thermo-field Dynamics Method for Electron with Two-mode Electromagnetic Field. Am. J. Phys. Appl. 2023, 11(1), 21-30. doi: 10.11648/j.ajpa.20231101.13

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AMA Style

Ahlem Abidi. The Thermo-field Dynamics Method for Electron with Two-mode Electromagnetic Field. Am J Phys Appl. 2023;11(1):21-30. doi: 10.11648/j.ajpa.20231101.13

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@article{10.11648/j.ajpa.20231101.13,
  author = {Ahlem Abidi},
  title = {The Thermo-field Dynamics Method for Electron with Two-mode Electromagnetic Field},
  journal = {American Journal of Physics and Applications},
  volume = {11},
  number = {1},
  pages = {21-30},
  doi = {10.11648/j.ajpa.20231101.13},
  url = {https://doi.org/10.11648/j.ajpa.20231101.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20231101.13},
  abstract = {The quick progress in quantum entanglement research allows us not one to study quantum systems down to N-bodies but also to take a new look at these systems in different branches of physics; particularly the statistical thermodynamics where the application of the thermo-field dynamics (TFD) method to the investigation of entanglement is fruitful. Because the traditional methods based on the identification of a specific parameter show their limit. The process using (TFD) facilitates the understanding of entanglement because it focuses directly on the eigenstate of the system and it is useful in the equilibrium and the non-equilibrium states also. In this context, the (TFD) method is used in this paper to analyze entanglement of an electron interacting with a two-mode electromagnetic field assimilated to an electron with two harmonic oscillators. Entanglement entropies are derived between concerned, not concerned harmonic oscillator and electron compute when the system is in a thermodynamic equilibrium and non-equilibrium state. For the equilibrium case, an increase in the number of particles per unit volume increases the quantum entanglement consequently entanglement appears more important for the couple oscillator-electron than the one electron, this trend is reversed for the non-equilibrium case. By respecting the entanglement parameters, such results allow us to know the relative equilibrium state of the overall system.},
 year = {2023}
}

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TY  - JOUR
T1  - The Thermo-field Dynamics Method for Electron with Two-mode Electromagnetic Field
AU  - Ahlem Abidi
Y1  - 2023/03/31
PY  - 2023
N1  - https://doi.org/10.11648/j.ajpa.20231101.13
DO  - 10.11648/j.ajpa.20231101.13
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 21
EP  - 30
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20231101.13
AB  - The quick progress in quantum entanglement research allows us not one to study quantum systems down to N-bodies but also to take a new look at these systems in different branches of physics; particularly the statistical thermodynamics where the application of the thermo-field dynamics (TFD) method to the investigation of entanglement is fruitful. Because the traditional methods based on the identification of a specific parameter show their limit. The process using (TFD) facilitates the understanding of entanglement because it focuses directly on the eigenstate of the system and it is useful in the equilibrium and the non-equilibrium states also. In this context, the (TFD) method is used in this paper to analyze entanglement of an electron interacting with a two-mode electromagnetic field assimilated to an electron with two harmonic oscillators. Entanglement entropies are derived between concerned, not concerned harmonic oscillator and electron compute when the system is in a thermodynamic equilibrium and non-equilibrium state. For the equilibrium case, an increase in the number of particles per unit volume increases the quantum entanglement consequently entanglement appears more important for the couple oscillator-electron than the one electron, this trend is reversed for the non-equilibrium case. By respecting the entanglement parameters, such results allow us to know the relative equilibrium state of the overall system.
VL  - 11
IS  - 1
ER  -

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Author Information

Ahlem Abidi

Research Unit of Nuclear Physics and High Energies, Faculty of Sciences of Tunis, Tunis El Manar University, Tunis, Tunisia

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APA Style

Ahlem Abidi. (2023). The Thermo-field Dynamics Method for Electron with Two-mode Electromagnetic Field. American Journal of Physics and Applications, 11(1), 21-30. https://doi.org/10.11648/j.ajpa.20231101.13

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ACS Style

Ahlem Abidi. The Thermo-field Dynamics Method for Electron with Two-mode Electromagnetic Field. Am. J. Phys. Appl. 2023, 11(1), 21-30. doi: 10.11648/j.ajpa.20231101.13

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AMA Style

Ahlem Abidi. The Thermo-field Dynamics Method for Electron with Two-mode Electromagnetic Field. Am J Phys Appl. 2023;11(1):21-30. doi: 10.11648/j.ajpa.20231101.13

Copy | Download

@article{10.11648/j.ajpa.20231101.13,
  author = {Ahlem Abidi},
  title = {The Thermo-field Dynamics Method for Electron with Two-mode Electromagnetic Field},
  journal = {American Journal of Physics and Applications},
  volume = {11},
  number = {1},
  pages = {21-30},
  doi = {10.11648/j.ajpa.20231101.13},
  url = {https://doi.org/10.11648/j.ajpa.20231101.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20231101.13},
  abstract = {The quick progress in quantum entanglement research allows us not one to study quantum systems down to N-bodies but also to take a new look at these systems in different branches of physics; particularly the statistical thermodynamics where the application of the thermo-field dynamics (TFD) method to the investigation of entanglement is fruitful. Because the traditional methods based on the identification of a specific parameter show their limit. The process using (TFD) facilitates the understanding of entanglement because it focuses directly on the eigenstate of the system and it is useful in the equilibrium and the non-equilibrium states also. In this context, the (TFD) method is used in this paper to analyze entanglement of an electron interacting with a two-mode electromagnetic field assimilated to an electron with two harmonic oscillators. Entanglement entropies are derived between concerned, not concerned harmonic oscillator and electron compute when the system is in a thermodynamic equilibrium and non-equilibrium state. For the equilibrium case, an increase in the number of particles per unit volume increases the quantum entanglement consequently entanglement appears more important for the couple oscillator-electron than the one electron, this trend is reversed for the non-equilibrium case. By respecting the entanglement parameters, such results allow us to know the relative equilibrium state of the overall system.},
 year = {2023}
}

Copy | Download

TY  - JOUR
T1  - The Thermo-field Dynamics Method for Electron with Two-mode Electromagnetic Field
AU  - Ahlem Abidi
Y1  - 2023/03/31
PY  - 2023
N1  - https://doi.org/10.11648/j.ajpa.20231101.13
DO  - 10.11648/j.ajpa.20231101.13
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 21
EP  - 30
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20231101.13
AB  - The quick progress in quantum entanglement research allows us not one to study quantum systems down to N-bodies but also to take a new look at these systems in different branches of physics; particularly the statistical thermodynamics where the application of the thermo-field dynamics (TFD) method to the investigation of entanglement is fruitful. Because the traditional methods based on the identification of a specific parameter show their limit. The process using (TFD) facilitates the understanding of entanglement because it focuses directly on the eigenstate of the system and it is useful in the equilibrium and the non-equilibrium states also. In this context, the (TFD) method is used in this paper to analyze entanglement of an electron interacting with a two-mode electromagnetic field assimilated to an electron with two harmonic oscillators. Entanglement entropies are derived between concerned, not concerned harmonic oscillator and electron compute when the system is in a thermodynamic equilibrium and non-equilibrium state. For the equilibrium case, an increase in the number of particles per unit volume increases the quantum entanglement consequently entanglement appears more important for the couple oscillator-electron than the one electron, this trend is reversed for the non-equilibrium case. By respecting the entanglement parameters, such results allow us to know the relative equilibrium state of the overall system.
VL  - 11
IS  - 1
ER  -

Copy | Download