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Generation of entanglement from a two-mode cascade laser

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Abstract

We analyse the entanglement of the light produced by a three-level laser whose cavity contains a parametric amplifier, with the cavity mode driven by the coherent light and coupled to a squeezed vacuum reservoir. Employing stochastic differential equations associated with the normal ordering resulted from the pertinent master equation, the quadrature variances and entanglement of the two-mode light are obtained and photon statistics of the two-light modes is discussed. It is found that the three-level laser generates squeezed light under certain conditions, with maximum intracavity squeezing being 89.7% below the coherent state level. We also show that the parametric amplifier enhances the mean photon number and photon number correlation.

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References

  1. C W Gardiner, Phys. Rev. Lett. 56, 1917 (1986)

    Article  ADS  Google Scholar 

  2. S Qamar, S Qamar and M Suhail Zubairy, Opt. Commun. 283, 781 (2010)

    Article  ADS  Google Scholar 

  3. E Alebachew, Opt. Commun. 280, 133 (2007)

    Article  ADS  Google Scholar 

  4. S Tesfa, Phys. Rev. A 79, 063815 (2009)

    Article  ADS  Google Scholar 

  5. T Abebe, N Gemechu, K Shogile, S Hailemariam, Ch Gashu and Sh Adisu, Rom. J. Phys. 65, 107 (2020)

    Google Scholar 

  6. H Xiong, M O Scully and M S Zubairy, Phys. Rev. Lett. 94, 023601 (2005)

    Article  ADS  Google Scholar 

  7. S Qamar, M Al-Amri and M S Zubairy, Phys. Rev. A 79, 013831 (2009)

    Article  ADS  Google Scholar 

  8. Ch Gashu, E Mosisa and T Abebe, Adv. Math. Phys. 2020, 14 (2020)

    Article  Google Scholar 

  9. Ch Gashu and T Abebe, Phys. Scr. 95, 075105 (2020)

    Article  ADS  Google Scholar 

  10. S Tesfa, J. Phys. B 40, 2373 (2007)

    Article  ADS  Google Scholar 

  11. C G Feyisa, Braz. J. Phys. 50, 379 (2020)

    Article  ADS  Google Scholar 

  12. N Lu, F X Zhao and J Bergou, Phys. Rev. A 39, 5189 (1989)

    Article  ADS  Google Scholar 

  13. T Abebe and C G Feyisa, Braz. J. Phys. 50, 495 (2020)

    Article  ADS  Google Scholar 

  14. F Kassahun, Fundamental of quantum optics (Lulu, North Carolina, 2008)

    Google Scholar 

  15. G New, Introduction to nonlinear optics (Cambridge University Press, New York, 2011)

    Book  Google Scholar 

  16. W H Louisell, Quantum statistical properties of radiation (Wiley, New York, 1973)

    MATH  Google Scholar 

  17. T Abebe, N Gemechu, Ch Gashu, K Shogile, S Hailemariam and Sh Adisu, Int. J. Opt. 2020, 11 (2020)

    Article  Google Scholar 

  18. T Y Darge, PMC Phys. B 3, 1 (2010)

    Article  ADS  Google Scholar 

  19. T Abebe, Ukr. J. Phys. 63, 733 (2018)

    Article  Google Scholar 

  20. L Viola, E Knill and S Lloyd, Phys. Rev. 82, 2417 (1999)

    ADS  Google Scholar 

  21. H Jeong, J Lee and M S Kim, Phys. Rev. A 61, 052101 (2000)

    Article  ADS  Google Scholar 

  22. S Tesfa, J. Phys. B 42, 215506 (2009)

    Article  ADS  Google Scholar 

  23. A Einstein, B Podolsky and R Rosen, Phys. Rev. 47, 777 (1935)

    Article  ADS  Google Scholar 

  24. L M Duan, G Giedke, J I Cirac and P Zoller, Phys. Rev. Lett. 84, 2722 (2000)

    Article  ADS  Google Scholar 

  25. S Abdel-Khalek, Y S El-Saman and M Abdel-Aty, Pramana – J. Phys. 90: 1 (2018)

    Article  ADS  Google Scholar 

  26. M Mahjoiei, M M Golshan and H Safarif, Pramana – J. Phys. 80, 785 (2013)

    Article  ADS  Google Scholar 

  27. S Mirzaei, Pramana – J. Phys. 94: 113 (2020)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

Authors are thankful to the Jimma University, College of Natural Sciences Research and Postgraduate Coordination Office, for the help, encouragement and financial support provided to them during the time they were working on this research.

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Correspondence to Tamirat Abebe.

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Abebe, T., Mosisa, E. & Gashu, C. Generation of entanglement from a two-mode cascade laser. Pramana - J Phys 95, 31 (2021). https://doi.org/10.1007/s12043-020-02049-x

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  • DOI: https://doi.org/10.1007/s12043-020-02049-x

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