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Beam splitter entangler for nonlinear bosonic fields

  • Quantum Information & Computation
  • Published:
Laser Physics

Abstract

Some years ago Katriel and Solomon [1] described applications to the characterization of the photon statistics of nonideal lasers, nonclassical light, and deformed photon states using f-deformed coherent states. In this letter, we study the effect of a beam splitter on these nonlinear coherent states. We find that these states are useful for generating quantum entanglement as the deformation parameter gets farther form the unity and for strong input field regimes. The results are confirmed through the Werhl entropy.

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References

  1. J. Katriel and Allan I. Solomon, Phys. Rev. A 49, 5149 (1994).

    Article  ADS  Google Scholar 

  2. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).

    Article  ADS  MATH  Google Scholar 

  3. E. Shrödinger, Proc. Camb. Phil. Soc. 31, 555 (1935).

    Article  ADS  Google Scholar 

  4. M. A. Nielsen and I. L. Chuang, Quantum Computation and Information (Cambridge University Press, Cambridge, 2000).

    MATH  Google Scholar 

  5. G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, and R. A. Zeilinger, Quantum Information (Springer, Berlin, 2001), Ch. 5.

    MATH  Google Scholar 

  6. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. 81, 865 (2009).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. J. Joo, W. J. Munro, and T. P. Spiller, Phys. Rev. Lett. 107, 083601 (2011).

    Article  ADS  Google Scholar 

  8. S. M. Tan, D. F. Walls, and M. J. Collett, Phys. Rev. Lett. 66, 252 (1991).

    Article  ADS  Google Scholar 

  9. G. Toth, C. Simon, and J. I. Cirac, Phys. Rev. A 68, 062310 (2003).

    Article  ADS  Google Scholar 

  10. S.-B. Zheng and G.-C. Guo, Phys. Rev. Lett. 85, 2392 (2000).

    Article  ADS  Google Scholar 

  11. N. Gershenfeld and I. L. Chuang, Science 275, 235 (1995).

    MathSciNet  Google Scholar 

  12. M. S. Kim, W. Son, V. Buzek, and P. L. Knight, Phys. Rev. A 65, 032323 (2002).

    Article  ADS  Google Scholar 

  13. J. S. Ivan, N. Mukunda, and R. Simon, Generation of NPT Entanglement from Nonclassical Photon Statistics, quant-ph/0603255.

  14. K. Berrada, M. El Baz, and Y. Hassouni, J. Stat. Phys. 142, 510 (2011).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. E. Schräuinger, Naturwissenschaften 14, 664 (1926).

    Article  ADS  Google Scholar 

  16. R. J. Glauber, Phys. Rev. 131, 2766 (1963).

    Article  MathSciNet  ADS  Google Scholar 

  17. B. Jurco, Lett. Math. Phys. 21, 51 (1991).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. V. V. Dodonov, J. Opt. B: Quantum Semiclass. Opt. 4, R1 (2002).

    Article  MathSciNet  ADS  Google Scholar 

  19. D. Ellinas, On Coherent States and q-Deformed Algebras, hepth/9309072 (1993).

  20. A. M. Scarfone and P. Narayana Swamy, J. Stat. Mech. D0I:10.1088/1742-5468/2009/02/P02055.

  21. S. Chaturvedi, A. K. Kappoor, R. Sandhya, and V. Srinivasan, Phys. Rev. A 43, 4555 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  22. S. H. Chiu, R. W. Gray, and C. A. Nelson, Phys. Lett. A 164, 237 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  23. H. J. Kimble, M. Dagenais, and L. Mandel, Phys. Rev. Lett. 39, 691 (1977).

    Article  ADS  Google Scholar 

  24. M. C. Teich and B. E. A. Salch, J. Opt. Soc. Am. B 2, 275 (1985).

    Article  ADS  Google Scholar 

  25. C. K. Hong and L. Mandel, Phys. Rev. Lett. 54, 323 (1985).

    Article  ADS  Google Scholar 

  26. L. A. Wu, H. J. kimble, J. L. Hall, and H. Wu, Phys. Rev. Lett. 57, 2520 (1985).

    Article  ADS  Google Scholar 

  27. R. Short and L. Mandel, Phys. Rev. Lett. 51, 384 (1983).

    Article  ADS  Google Scholar 

  28. J. Perina, Z. Hradil, and B. Jurco, Quantum Optics and Fundamentals of Physics (Dordrechet, 1994).

  29. S. Mancini and V. I. Man’ko, Europhys. Lett. 54, 586 (2001).

    Article  ADS  Google Scholar 

  30. C. Tsallis, J. Stat. Phys. 52, 479 (1988).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. J. Braz, Phys. 29, 1 (1999).

    Google Scholar 

  32. Y. Aharonov, D. Falkoff, E. Lerner, and H. Pendelton, Ann. Phys. 39, 498 (1966).

    Article  ADS  Google Scholar 

  33. L. C. Biedenharn, J. Phys. A 22, L873 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  34. A. J. Macfarlane, J. Phys. A 22, 4581 (1989).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  35. M. Arik and D. D. Coon, J. Math. Phys. 17, 524 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  36. L. C. Biedenharn, J. Phys. A 22, L873 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  37. A. Wehrl, Rep. Math. Phys. 16, 353 (1979).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  38. A. Wehrl, Rep. Math. Phys. 30, 119 (1991).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  39. S. Abdel-Khalek and A.-S.F. Obada, Ann. Phys. 325, 2542 (2010).

    Article  ADS  MATH  Google Scholar 

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Sohag University, 82524, Sohag, Egypt

    S. Abdel-Khalek

  2. Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia

    S. Abdel-Khalek

  3. The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste, Italy

    K. Berrada

  4. Laboratoire de Physique Théorique, Faculté des Sciences, Université Mohammed V-Agdal, Av. Ibn Battouta, B.P. 1014, Agdal Rabat, Morocco

    K. Berrada

  5. Department of Physics, Al-Imam Muhammad Ibn Saud Islamic University, Riyadh, Saudi Arabia

    K. Berrada

  6. Department of Physics, University of Malaya, 50603, Kuala Lumpur, Malaysia

    C. H. Raymond Ooi

Authors
  1. S. Abdel-Khalek
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  2. K. Berrada
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  3. C. H. Raymond Ooi
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Correspondence to S. Abdel-Khalek.

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Original Text © Astro, Ltd., 2012.

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Abdel-Khalek, S., Berrada, K. & Raymond Ooi, C.H. Beam splitter entangler for nonlinear bosonic fields. Laser Phys. 22, 1449–1454 (2012). https://doi.org/10.1134/S1054660X12090010

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