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Higher-Order Squeezing and Generalized Uncertainty Relations in Non-Degenerate Parametric Down Conversion

  • Xizeng Li
  • Baoxia Su
Conference paper

Abstract

The concept of higher-order squeezing of single-mode quantum electromagnetic field was first introduced and applied to degenerate parametric down conversion by Hong and Mandel in 1985.1,2 Lately Xizeng Li and Ying Shan have calculated the higher-order squeezing in the process of degenerate four wave mixing3, and present the higher-order uncertainty relations in single-mode squeezed states4. As a natural generalizaton of Hong and Mandel’s work, we introduced the theory of higher-order squeezing of the quantum fields and the generalized uncertainty relations in two-mode squeezed state in 19945. In this paper we study the higher-order squeezing of the quantum field and the generalized uncertainty relations in non-degenerate parametric down conversion (NDPDC) by means of the above theory.

Keywords

Uncertainty Relation Signal Wave Heisenberg Picture Initial Quantum Idle Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    C.K:Hong and L.Mandcl, Phys.Rev.Lett. 54: 323 (1985).Google Scholar
  2. 2.
    C.K.}long and L.Mandcl, Phys.Rev. A 32: 974 (1985).CrossRefGoogle Scholar
  3. 3.
    Xi/el-1g Li and Ying Shan, Phys. Rev. A40: 7384 (1989).Google Scholar
  4. 4.
    Xücng Li and Ying Shan, Technical Digest of the X VI International Conference on Quantum Electronics:180, Tokyo, Japan (1988).Google Scholar
  5. 5.
    Xireng Li and Baoxia Su, in: “Proceedings of the Third International Workshop on Squeezed States and Uncertainty Relations”, ed. by D.Han, Y.S.Kim and W.W Zachary. NASA CP.3270:33, Washington DC, U.S.A(1994)Google Scholar
  6. 6.
    C.M.Caves and B.L.Schumaker, Phys. Rev. A31: 3086 (1985).Google Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Xizeng Li
    • 1
  • Baoxia Su
    • 1
  1. 1.Department of Applied PhysicsTianjin UniversityTianjinP.R. China

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