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Two-mode SU(2) coherent states for k-photon down conversion process with quantized pump

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Abstract

We analyze the statistical properties of the two-mode SU(2) coherent states associated with the process ofk-photon down conversion with quantized pump. We show that the modes exhibit sub-Poissonian photon statistics, anticorrelation and in some particular cases also squeezing. The influence of various initial number states on this effects is analyzed in detail.

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References

  1. Walls D. F.: Nature306 (1983) 141.

    Google Scholar 

  2. Hong C. K. and Mandel L.: Phys. Rev. A32 (1985) 974.

    Google Scholar 

  3. Schumaker B. L.: Phys. Rep.135 (1986) 317.

    Google Scholar 

  4. Loudon R. and Knight P. L.: J. Mod. Opt.34 (1987) 709.

    Google Scholar 

  5. Mandel L.: Opt. Lett.4 (1979) 205.

    Google Scholar 

  6. Stoler D.: Phys. Rev. Lett.33 (1974) 1397.

    Google Scholar 

  7. Yuen H. P.: Phys. Rev. A13 (1976) 2226.

    Google Scholar 

  8. Fisher R. A., Nieto M. M., and Sandberg V. D.: Phys. Rev. D29 (1984) 1107.

    Google Scholar 

  9. Braunstein S. L. and McLachlan R. I.: Phys. Rev. A35 (1987) 1659.

    Google Scholar 

  10. D'Ariano G. and Rasetti M.: Phys. Rev. D32 (1985) 1034.

    Google Scholar 

  11. Brandt S. L. and Greenberg O. W.: J. Math. Phys.10 (1969) 1168.

    Google Scholar 

  12. Perelomov A. M.: Generalized coherent states and their applications. Moscow, Nauka, 1987 (in Russian).

    Google Scholar 

  13. Hillery M.: Phys. Rev. A42 (1990) 498.

    Google Scholar 

  14. Wodkiewicz K. and Eberly S. H.: J. Opt. Soc. Am. B2 (1985) 458.

    Google Scholar 

  15. Buzek V. and Tran Quang: J. Opt. Soc. Am. B6 (1989) 2447.

    Google Scholar 

  16. Buzek V. and Drobný G.: Phys. Rev. A47 (1993).

  17. Bishop R. F. and Vourdas A.: Z. Phys. B71 (1988) 527.

    Google Scholar 

  18. Barut A. O. and Giradello L.: Commun. Math. Phys.21 (1971) 41.

    Google Scholar 

  19. Bužek V., Jex I., and Tran Quang: J. Mod. Opt.37 (1990) 159.

    Google Scholar 

  20. De Oliveira F. A. M., Kim P. L., Knight P. L., and Buzek V.: Phys. Rev. A41 (1990) 2645.

    Google Scholar 

  21. Satyanarayana M. V.: Phys. Rev. D32 (1985) 400.

    Google Scholar 

  22. Gerry C. C.: J. Opt. Soc. Am. B8 (1991) 685.

    Google Scholar 

  23. Wei-Min Zhang, Da Hsuan Fend, and Gilmore D.: Rev. Mod. Phys.62 (1990) 867.

    Google Scholar 

  24. Lukš A., Peřinová V., and Peřina J.: Opt. Commun.67 (1988) 149.

    Google Scholar 

  25. Lukš A., Peřinová V., and Hradil Z.: Acta Phys. Pol. A74 (1988) 713.

    Google Scholar 

  26. Drobný G. and Jex I.: Phys. Rev. A45 (1992) 1816.

    Google Scholar 

  27. Katriel J. and Hummer D. G.: J. Phys. A14 (1981) 1211.

    Google Scholar 

  28. Jex I., Drobný G., and Matsuoka M.: Opt. Commun.94 (1992) 619.

    Google Scholar 

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One of the authors I. J. would like to thank Professor M. Matsuoka for discussions.

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Drobný, G., Jex, I. Two-mode SU(2) coherent states for k-photon down conversion process with quantized pump. Czech J Phys 43, 797–806 (1993). https://doi.org/10.1007/BF01589801

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  • DOI: https://doi.org/10.1007/BF01589801

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