International Journal of Theoretical Physics

, Volume 54, Issue 5, pp 1720–1725 | Cite as

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



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.


Degenerate parametric amplifier IWOP method Fresnel operator Squeezed state 


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Zhi-long Wang
    • 1
  • Shan-jun Ma
    • 1
  • Fang Jia
    • 1
    • 2
  • Hong-yi Fan
    • 2
  1. 1.Center for Quantum Science and Technology, College of Physics and Communication ElectronicsJiangxi Normal UniversityNanchangChina
  2. 2.Department of Material Science and EngineeringUniversity of Science and Technology of ChinaHefeiChina

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