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

Received: 7 March 2021    Accepted: 17 March 2021    Published: 30 March 2021
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Abstract

The squeezing, entanglement, and statistical properties of light produced by lambda-type three-level laser coupled to squeezed vacuum reservoir have been studied. We have determined the quadrature variances mean as well as variance photon number photon for cavity modes with the aid of the solutions of c-number Langevin equations associated with the normal order. The results show that the light produced by the system under consideration in squeezed state. The squeezed vacuum reservoir enhances both the quadrature squeezing and mean photon numbers. In addition, the mean photon number of mode b is greater than that of a if more atoms injected with state |a>. We have calculated the quadrature variances of the cavity modes, the result shows that the light produced by the system under consideration is in squeezed state and the squeezing occurs in the minus quadrature. The result also shows that the effect of the squeezed vacuum reservoir is not only enhancing the degree of squeezing for the light modes but also to generate the photons for the system under consideration. The system produce entangled two mode light that increase with η and linear gain coefficient but decrease with squeezing parameters. The correlation function of the two modes decreases as η, the linear gain coefficient and increase with squeezing parameter.

DOI 10.11648/j.optics.20211001.11
Published in Optics (Volume 10, Issue 1, June 2021)
Page(s) 1-6
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, LASER, Photon Statistics

References
[1] Fesseha Kassahun, Fundamental of Quantum Optics (Lulu, Press Inc., North Carolina, 2008).
[2] Marlin O. Scull y and M. Suhail Zubairy, Quantum Optics (Cambridge University, 1997).
[3] Mark Fox, Quantum Optics An Introduction, (Oxford University press, 2006).
[4] Fesseha K. Three-level laser can generate squeezed light (Addis Ababa University, Ethiopia, 2005).
[5] E. Alebachw and K. Fesseha, A degenerate three-level laser with a parametric amplifier, (Addis Ababa University. V1, 2008).
[6] Dawit Hiluf, A Degenerated three-level laser coupled to a squeezed vacuum reservoir, (Addis Ababa University, 2005).
[7] F. Kasshun, Three level laser dynamics with the atoms pumped by electron bombardment (Addis Ababa, Ethiopia. v3, 2012).
[8] Misrak Getahun, Three level laser Dynamics with coherently and squeezed light, PhD Dissertation (Addis Ababa University, 2009).
[9] S. Tesfa driven degenerate three level cascade laser, (Phys. B: At. Mol. Opt. Phys. 41, 145501 (2008)).
[10] K. fesseha, Three -level laser dynamic with squeezed light, (10.1103 PhysRevA.63.033811, published 13 February 2001).
[11] Javaid Anwar, Laser phase noise quenching via squeezed vacuum reservoir, (PhysRevA72, 063804 2005).
[12] Driba Demissie, Quantum analysis of coherently Driven Three level laser Msc. Thesis (Addis Ababa university, 2001).
[13] Wubshet Mekonen, a non degenerate three-level laser with cavity modes driven by coherence light, MSc Thesis, (Addis Ababa University, 2007).
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  • APA Style

    Takele Teshome, Gomera Biyazn, Misrak Gatahun. (2021). Lambda-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir. Optics, 10(1), 1-6. https://doi.org/10.11648/j.optics.20211001.11

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    ACS Style

    Takele Teshome; Gomera Biyazn; Misrak Gatahun. Lambda-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir. Optics. 2021, 10(1), 1-6. doi: 10.11648/j.optics.20211001.11

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    AMA Style

    Takele Teshome, Gomera Biyazn, Misrak Gatahun. Lambda-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir. Optics. 2021;10(1):1-6. doi: 10.11648/j.optics.20211001.11

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  • @article{10.11648/j.optics.20211001.11,
      author = {Takele Teshome and Gomera Biyazn and Misrak Gatahun},
      title = {Lambda-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir},
      journal = {Optics},
      volume = {10},
      number = {1},
      pages = {1-6},
      doi = {10.11648/j.optics.20211001.11},
      url = {https://doi.org/10.11648/j.optics.20211001.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.optics.20211001.11},
      abstract = {The squeezing, entanglement, and statistical properties of light produced by lambda-type three-level laser coupled to squeezed vacuum reservoir have been studied. We have determined the quadrature variances mean as well as variance photon number photon for cavity modes with the aid of the solutions of c-number Langevin equations associated with the normal order. The results show that the light produced by the system under consideration in squeezed state. The squeezed vacuum reservoir enhances both the quadrature squeezing and mean photon numbers. In addition, the mean photon number of mode b is greater than that of a if more atoms injected with state |a>. We have calculated the quadrature variances of the cavity modes, the result shows that the light produced by the system under consideration is in squeezed state and the squeezing occurs in the minus quadrature. The result also shows that the effect of the squeezed vacuum reservoir is not only enhancing the degree of squeezing for the light modes but also to generate the photons for the system under consideration. The system produce entangled two mode light that increase with η and linear gain coefficient but decrease with squeezing parameters. The correlation function of the two modes decreases as η, the linear gain coefficient and increase with squeezing parameter.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - Lambda-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir
    AU  - Takele Teshome
    AU  - Gomera Biyazn
    AU  - Misrak Gatahun
    Y1  - 2021/03/30
    PY  - 2021
    N1  - https://doi.org/10.11648/j.optics.20211001.11
    DO  - 10.11648/j.optics.20211001.11
    T2  - Optics
    JF  - Optics
    JO  - Optics
    SP  - 1
    EP  - 6
    PB  - Science Publishing Group
    SN  - 2328-7810
    UR  - https://doi.org/10.11648/j.optics.20211001.11
    AB  - The squeezing, entanglement, and statistical properties of light produced by lambda-type three-level laser coupled to squeezed vacuum reservoir have been studied. We have determined the quadrature variances mean as well as variance photon number photon for cavity modes with the aid of the solutions of c-number Langevin equations associated with the normal order. The results show that the light produced by the system under consideration in squeezed state. The squeezed vacuum reservoir enhances both the quadrature squeezing and mean photon numbers. In addition, the mean photon number of mode b is greater than that of a if more atoms injected with state |a>. We have calculated the quadrature variances of the cavity modes, the result shows that the light produced by the system under consideration is in squeezed state and the squeezing occurs in the minus quadrature. The result also shows that the effect of the squeezed vacuum reservoir is not only enhancing the degree of squeezing for the light modes but also to generate the photons for the system under consideration. The system produce entangled two mode light that increase with η and linear gain coefficient but decrease with squeezing parameters. The correlation function of the two modes decreases as η, the linear gain coefficient and increase with squeezing parameter.
    VL  - 10
    IS  - 1
    ER  - 

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

  • Department of Physics, Hawassa University, Hawassa, Ethiopia

  • Department of Physics, Hawassa University, Hawassa, Ethiopia

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