Light Entanglement from a Non-Degenerate Three-Level Laser with a Parametric Amplifier and Coupled to a Thermal Reservoir

Negasa Belay Ayana

doi:doi:10.11648/j.jeee.20231102.11

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Light Entanglement from a Non-Degenerate Three-Level Laser with a Parametric Amplifier and Coupled to a Thermal Reservoir

Negasa Belay Ayana

Published in Journal of Electrical and Electronic Engineering (Volume 11, Issue 2)

Received: 19 January 2023 Accepted: 23 May 2023 Published: 5 June 2023

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Abstract

The quantum properties of a non-degenerate three-level laser with the parametric amplifier and coupled to a thermal reservoir are thoroughly analyzed with the use of the pertinent master equation and stochastic differential equations associated with the normal ordering. Applying solutions of resulting differential equations, quadrature variance, the mean and variance of photon number, the photon number correlation are calculated. However, the two-mode driving light has no effect on the squeezing properties of the cavity modes. Employing the same solutions, one can also obtain anti normally ordered characteristic function defined in the Heisenberg picture. For a linear gain coefficient of (A = 100), for a cavity damping constant of K= 0:8, µ = 0 and for thermal reservoir th = 0, the maximum intra cavity photon entanglement is found at steady state and at threshold to be 60%.

Published in	Journal of Electrical and Electronic Engineering (Volume 11, Issue 2)
DOI	10.11648/j.jeee.20231102.11
Page(s)	43-53
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

Master Equation, Solution of Stochastic Differential Equations, Entanglement Amplification and Langavian Equation

References

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APA Style

Negasa Belay Ayana. (2023). Light Entanglement from a Non-Degenerate Three-Level Laser with a Parametric Amplifier and Coupled to a Thermal Reservoir. Journal of Electrical and Electronic Engineering, 11(2), 43-53. https://doi.org/10.11648/j.jeee.20231102.11

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ACS Style

Negasa Belay Ayana. Light Entanglement from a Non-Degenerate Three-Level Laser with a Parametric Amplifier and Coupled to a Thermal Reservoir. J. Electr. Electron. Eng. 2023, 11(2), 43-53. doi: 10.11648/j.jeee.20231102.11

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AMA Style

Negasa Belay Ayana. Light Entanglement from a Non-Degenerate Three-Level Laser with a Parametric Amplifier and Coupled to a Thermal Reservoir. J Electr Electron Eng. 2023;11(2):43-53. doi: 10.11648/j.jeee.20231102.11

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@article{10.11648/j.jeee.20231102.11,
  author = {Negasa Belay Ayana},
  title = {Light Entanglement from a Non-Degenerate Three-Level Laser with a Parametric Amplifier and Coupled to a Thermal Reservoir},
  journal = {Journal of Electrical and Electronic Engineering},
  volume = {11},
  number = {2},
  pages = {43-53},
  doi = {10.11648/j.jeee.20231102.11},
  url = {https://doi.org/10.11648/j.jeee.20231102.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20231102.11},
  abstract = {The quantum properties of a non-degenerate three-level laser with the parametric amplifier and coupled to a thermal reservoir are thoroughly analyzed with the use of the pertinent master equation and stochastic differential equations associated with the normal ordering. Applying solutions of resulting differential equations, quadrature variance, the mean and variance of photon number, the photon number correlation are calculated. However, the two-mode driving light has no effect on the squeezing properties of the cavity modes. Employing the same solutions, one can also obtain anti normally ordered characteristic function defined in the Heisenberg picture. For a linear gain coefficient of (A = 100), for a cavity damping constant of K= 0:8, µ = 0 and for thermal reservoir th = 0, the maximum intra cavity photon entanglement is found at steady state and at threshold to be 60%.},
 year = {2023}
}

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TY  - JOUR
T1  - Light Entanglement from a Non-Degenerate Three-Level Laser with a Parametric Amplifier and Coupled to a Thermal Reservoir
AU  - Negasa Belay Ayana
Y1  - 2023/06/05
PY  - 2023
N1  - https://doi.org/10.11648/j.jeee.20231102.11
DO  - 10.11648/j.jeee.20231102.11
T2  - Journal of Electrical and Electronic Engineering
JF  - Journal of Electrical and Electronic Engineering
JO  - Journal of Electrical and Electronic Engineering
SP  - 43
EP  - 53
PB  - Science Publishing Group
SN  - 2329-1605
UR  - https://doi.org/10.11648/j.jeee.20231102.11
AB  - The quantum properties of a non-degenerate three-level laser with the parametric amplifier and coupled to a thermal reservoir are thoroughly analyzed with the use of the pertinent master equation and stochastic differential equations associated with the normal ordering. Applying solutions of resulting differential equations, quadrature variance, the mean and variance of photon number, the photon number correlation are calculated. However, the two-mode driving light has no effect on the squeezing properties of the cavity modes. Employing the same solutions, one can also obtain anti normally ordered characteristic function defined in the Heisenberg picture. For a linear gain coefficient of (A = 100), for a cavity damping constant of K= 0:8, µ = 0 and for thermal reservoir th = 0, the maximum intra cavity photon entanglement is found at steady state and at threshold to be 60%.
VL  - 11
IS  - 2
ER  -

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Author Information

Negasa Belay Ayana

Department of Physics, Jimma University, Jimma, Ethiopia

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APA Style

Negasa Belay Ayana. (2023). Light Entanglement from a Non-Degenerate Three-Level Laser with a Parametric Amplifier and Coupled to a Thermal Reservoir. Journal of Electrical and Electronic Engineering, 11(2), 43-53. https://doi.org/10.11648/j.jeee.20231102.11

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ACS Style

Negasa Belay Ayana. Light Entanglement from a Non-Degenerate Three-Level Laser with a Parametric Amplifier and Coupled to a Thermal Reservoir. J. Electr. Electron. Eng. 2023, 11(2), 43-53. doi: 10.11648/j.jeee.20231102.11

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AMA Style

Negasa Belay Ayana. Light Entanglement from a Non-Degenerate Three-Level Laser with a Parametric Amplifier and Coupled to a Thermal Reservoir. J Electr Electron Eng. 2023;11(2):43-53. doi: 10.11648/j.jeee.20231102.11

Copy | Download

@article{10.11648/j.jeee.20231102.11,
  author = {Negasa Belay Ayana},
  title = {Light Entanglement from a Non-Degenerate Three-Level Laser with a Parametric Amplifier and Coupled to a Thermal Reservoir},
  journal = {Journal of Electrical and Electronic Engineering},
  volume = {11},
  number = {2},
  pages = {43-53},
  doi = {10.11648/j.jeee.20231102.11},
  url = {https://doi.org/10.11648/j.jeee.20231102.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20231102.11},
  abstract = {The quantum properties of a non-degenerate three-level laser with the parametric amplifier and coupled to a thermal reservoir are thoroughly analyzed with the use of the pertinent master equation and stochastic differential equations associated with the normal ordering. Applying solutions of resulting differential equations, quadrature variance, the mean and variance of photon number, the photon number correlation are calculated. However, the two-mode driving light has no effect on the squeezing properties of the cavity modes. Employing the same solutions, one can also obtain anti normally ordered characteristic function defined in the Heisenberg picture. For a linear gain coefficient of (A = 100), for a cavity damping constant of K= 0:8, µ = 0 and for thermal reservoir th = 0, the maximum intra cavity photon entanglement is found at steady state and at threshold to be 60%.},
 year = {2023}
}

Copy | Download

TY  - JOUR
T1  - Light Entanglement from a Non-Degenerate Three-Level Laser with a Parametric Amplifier and Coupled to a Thermal Reservoir
AU  - Negasa Belay Ayana
Y1  - 2023/06/05
PY  - 2023
N1  - https://doi.org/10.11648/j.jeee.20231102.11
DO  - 10.11648/j.jeee.20231102.11
T2  - Journal of Electrical and Electronic Engineering
JF  - Journal of Electrical and Electronic Engineering
JO  - Journal of Electrical and Electronic Engineering
SP  - 43
EP  - 53
PB  - Science Publishing Group
SN  - 2329-1605
UR  - https://doi.org/10.11648/j.jeee.20231102.11
AB  - The quantum properties of a non-degenerate three-level laser with the parametric amplifier and coupled to a thermal reservoir are thoroughly analyzed with the use of the pertinent master equation and stochastic differential equations associated with the normal ordering. Applying solutions of resulting differential equations, quadrature variance, the mean and variance of photon number, the photon number correlation are calculated. However, the two-mode driving light has no effect on the squeezing properties of the cavity modes. Employing the same solutions, one can also obtain anti normally ordered characteristic function defined in the Heisenberg picture. For a linear gain coefficient of (A = 100), for a cavity damping constant of K= 0:8, µ = 0 and for thermal reservoir th = 0, the maximum intra cavity photon entanglement is found at steady state and at threshold to be 60%.
VL  - 11
IS  - 2
ER  -

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