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V-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir

Received: 1 February 2021    Accepted: 16 February 2021    Published: 3 March 2021
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Abstract

The squeezing, entanglement, and statistical properties of cavity modes produced by V-type three-level laser coupled to squeezed vacuum reservoir were studied employing the steady state solutions of the expectation values of the cavity mode operators. The study showed that a light in squeezing state can be produced by the system under consideration under the condition that the cavity decay constant is larger than linear gain coefficient and the squeezing occurs in the plus-quadrature. The cavity modes do not exhibit entanglement properties. It is also observed that the degree of squeezing increases with the linear gain coefficient and squeezing parameter. We also determined the mean and variance of the photon number, intensity difference fluctuations, and the second order correlation function of the two modes. The mean and variance of the photon number as well as the correlation function of two modes decrease as the difference of the probability of the two states at initial time increases. The photons have super-poissionian statistics. The point, η, at which the maximum intensity difference fluctuation occurred depends on linear gain coefficient but not squeezing parameter. The result shows that the correlation of the two modes decreases as η the linear gain coefficient and squeezing parameter.

Published in American Journal of Optics and Photonics (Volume 9, Issue 1)
DOI 10.11648/j.ajop.20210901.11
Page(s) 1-9
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, EPR, Intensity Difference, Laser, Quadrature Squeezing

References
[1] Haroches, S. Raimond, J. M exploring the quantum, oxford university press (2006).
[2] Nor Hazmin Bt. Sabri, Non-classical properties of light in atom cavity interaction scheme with time and intensity dependent coupling, kuala lumpur press (2013).
[3] Dawit Hiluf and Fesseha Kassahun, Degenerate three level laser coupled to squeezed vacuum reservoir, arXiv: 1709.10047v1, (October 17, 2018).
[4] Getachew A. Gebiru, Generation of bright squeezed light from N three-level atoms pumped by a coherent light, journal of quantum information science 6, 121-141 (June 30, 2016).
[5] M. R. Abbasiem, Thermal entanglement of a V-type three-level atom and bimodal photons, Physica A 501 (2018) 69-77.
[6] M. A. Anton, F. Carreno and Oscar G. Calderon, squeezing spectra in a V-type three-level Atom interacting with a broadband squeezed field, Optics Communications 234, 281-294 (February 2, 2004).
[7] Y. Fang and J. Jang, Quantum squeezing and entanglement from a two-mode phase sensitive amplifier via four-wave mixing in rubidium vapor New J. Phys, 17 (2015) 023027.
[8] Eyob Alebachew and Fesseha Kassahun, A degenerate three level laser with a parametric amplifier, arXiv: 10506178v3 (1, 2007).
[9] LI-Gao Xiang, PENG-Jin Sheng and WUS-Huang Guang Min, Population Inversion of a V-Type Three-Level Atom due to the effect of cavity induced quantum interference Vol, 18, No 1 (2001).
[10] Habitamu Dagnaw and Sitotaw Eshete, Quantum Analysis of Degenerate Three-Level Laser, Advance in physics theory and applications 2225-0638 Vol, 72 (2018).
[11] M. O Scully and M. S. Zubarry, Quantum Optics (Cambridge university press, Cam-bridge, 1997).
[12] Sitotaw Eshete and Misrak Gatahun, Superposed two-mode squeezed laser light coupled to squeezed vacuum reservoir, Advance in physics theory and application 2225-0638 Vol, 71 (2018).
[13] Eyob Alebachew, Enhanced squeezing and entanglement in a non-degenerate three-level cascade laser with injected squeezed light, Optics Communications, Italy 280 (2007) 133-141.
[14] Wen-Xing Yang, Ai-Xi Chen, Ting-Ting Zha, Yanfeng Bai, Ray-Kuang Lee, Interference-induced enhancement of field entanglement in a microwave-driven V-type single-atom laser, Central European Journal of Physics 12 (10), 2014, 737-743.
[15] Fesseha Kassahun, Fundamentals of Quantum Optics (Lulu Press Inc., North Car-olina, 2008).
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  • APA Style

    Gomera Biyazn, Misrak Gatahun. (2021). V-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir. American Journal of Optics and Photonics, 9(1), 1-9. https://doi.org/10.11648/j.ajop.20210901.11

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    ACS Style

    Gomera Biyazn; Misrak Gatahun. V-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir. Am. J. Opt. Photonics 2021, 9(1), 1-9. doi: 10.11648/j.ajop.20210901.11

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    AMA Style

    Gomera Biyazn, Misrak Gatahun. V-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir. Am J Opt Photonics. 2021;9(1):1-9. doi: 10.11648/j.ajop.20210901.11

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  • @article{10.11648/j.ajop.20210901.11,
      author = {Gomera Biyazn and Misrak Gatahun},
      title = {V-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir},
      journal = {American Journal of Optics and Photonics},
      volume = {9},
      number = {1},
      pages = {1-9},
      doi = {10.11648/j.ajop.20210901.11},
      url = {https://doi.org/10.11648/j.ajop.20210901.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajop.20210901.11},
      abstract = {The squeezing, entanglement, and statistical properties of cavity modes produced by V-type three-level laser coupled to squeezed vacuum reservoir were studied employing the steady state solutions of the expectation values of the cavity mode operators. The study showed that a light in squeezing state can be produced by the system under consideration under the condition that the cavity decay constant is larger than linear gain coefficient and the squeezing occurs in the plus-quadrature. The cavity modes do not exhibit entanglement properties. It is also observed that the degree of squeezing increases with the linear gain coefficient and squeezing parameter. We also determined the mean and variance of the photon number, intensity difference fluctuations, and the second order correlation function of the two modes. The mean and variance of the photon number as well as the correlation function of two modes decrease as the difference of the probability of the two states at initial time increases. The photons have super-poissionian statistics. The point, η, at which the maximum intensity difference fluctuation occurred depends on linear gain coefficient but not squeezing parameter. The result shows that the correlation of the two modes decreases as η the linear gain coefficient and squeezing parameter.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - V-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir
    AU  - Gomera Biyazn
    AU  - Misrak Gatahun
    Y1  - 2021/03/03
    PY  - 2021
    N1  - https://doi.org/10.11648/j.ajop.20210901.11
    DO  - 10.11648/j.ajop.20210901.11
    T2  - American Journal of Optics and Photonics
    JF  - American Journal of Optics and Photonics
    JO  - American Journal of Optics and Photonics
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    EP  - 9
    PB  - Science Publishing Group
    SN  - 2330-8494
    UR  - https://doi.org/10.11648/j.ajop.20210901.11
    AB  - The squeezing, entanglement, and statistical properties of cavity modes produced by V-type three-level laser coupled to squeezed vacuum reservoir were studied employing the steady state solutions of the expectation values of the cavity mode operators. The study showed that a light in squeezing state can be produced by the system under consideration under the condition that the cavity decay constant is larger than linear gain coefficient and the squeezing occurs in the plus-quadrature. The cavity modes do not exhibit entanglement properties. It is also observed that the degree of squeezing increases with the linear gain coefficient and squeezing parameter. We also determined the mean and variance of the photon number, intensity difference fluctuations, and the second order correlation function of the two modes. The mean and variance of the photon number as well as the correlation function of two modes decrease as the difference of the probability of the two states at initial time increases. The photons have super-poissionian statistics. The point, η, at which the maximum intensity difference fluctuation occurred depends on linear gain coefficient but not squeezing parameter. The result shows that the correlation of the two modes decreases as η the linear gain coefficient and squeezing parameter.
    VL  - 9
    IS  - 1
    ER  - 

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Author Information
  • Department of Physics, Hawassa University, Hawassa, Ethiopia

  • Department of Physics, Hawassa University, Hawassa, Ethiopia

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