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Quantum Fresnel Transformation Responsible for Squeezing Mechanism and Squeezed State of a Degenerate Parametric Amplifier

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Abstract

We show that sueezing mechanism involved in a degenerate parametric amplifier (DPA) actually corresponds to optical Fresnel transformation. We then employ the technique of integration within ordered product (IWOP) of operators to obtain the concrete form squeezed state. In this way, the squeezing mechanism in DPA is discussed in the context of Fresnel operator theory.

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References

  1. Fan, H.-y., Hu, L.-y.: Front. Phys. 7, 261 (2012)

    Article  Google Scholar 

  2. Yamamoto, Y., et al.: In: Wolf, E. (ed.) Progress in optics, vol 28, p. 89. North-Holland, Amsterdam (1990)

  3. Kimble, H.J.: In: Dalibard, J., Raidmond, J. M. (eds.) North-Holland, Amsterdam (1992)

  4. Reynaud, S., Heidmann, E., Giacobino, A., Fabre, C.: In: E. Wolf (ed.) Progress in optics, vol 30. North-Holland, Amsterdam (1992)

  5. Slusher, R.E., Hollberg, L.W., Yurke, B., Mertz, J.C., Valley, J.F.: Phys. Rev. Lett. 55, 2409 (1985)

    Article  ADS  Google Scholar 

  6. Fan, H.Y., Hu, L.Y.: Chin. Phys. B 18, 611 (2009)

    Article  ADS  Google Scholar 

  7. Fan, H.Y., Hu, L.Y.: Opt. Commun. 282, 3734 (2009)

    Article  ADS  Google Scholar 

  8. Fan, H.Y., Lu, H.L., Fan, Y.: Ann. Phys. 321, 480 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  9. Fan, H.Y., Klauder, J.R.: Phys. Rev. A 49, 704 (1994)

    Article  ADS  MATH  Google Scholar 

  10. Klauder, J.R.: Coherent States. World Scientific, Singapore (1985)

    Book  MATH  Google Scholar 

  11. Wang, S.M., Zhao, D.M.: Matrix Optics. China Higher Education Press, Beijing (2000)

    Google Scholar 

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Authors and Affiliations

  1. Center for Quantum Science and Technology, College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, 330022, China

    Zhi-long Wang, Shan-jun Ma & Fang Jia

  2. Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui, 230026, China

    Fang Jia & Hong-yi Fan

Authors
  1. Zhi-long Wang
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  2. Shan-jun Ma
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  3. Fang Jia
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  4. Hong-yi Fan
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Corresponding author

Correspondence to Shan-jun Ma.

Additional information

Supported by the National Natural Science Foundation of China under Grant Nos. 11175113 and 11264018 and the Natural Science Foundation of Jiangxi Province of China under Grant No. 20142BAB202001

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Wang, Zl., Ma, Sj., Jia, F. et al. Quantum Fresnel Transformation Responsible for Squeezing Mechanism and Squeezed State of a Degenerate Parametric Amplifier. Int J Theor Phys 54, 1720–1725 (2015). https://doi.org/10.1007/s10773-014-2373-5

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  • DOI: https://doi.org/10.1007/s10773-014-2373-5

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