中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1640-1644.doi: 10.1088/1674-1056/17/5/019

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Quantum optical ABCD theorem in two-mode case

范洪义, 胡利云   

  1. Department of Physics, Shanghai Jiaotong University, Shanghai rm 200030, China
  • 收稿日期:2007-08-02 修回日期:2007-09-10 出版日期:2008-05-20 发布日期:2008-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10775097 and 10475056).

Quantum optical ABCD theorem in two-mode case

Fan Hong-Yi(范洪义) and Hu Li-Yun(胡利云)†   

  1. Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:2007-08-02 Revised:2007-09-10 Online:2008-05-20 Published:2008-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10775097 and 10475056).

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摘要： By introducing the entangled Fresnel operator (EFO) this paper demonstrates that there exists ABCD theorem for two-mode entangled case in quantum optics. The canonical operator method as mapping of ray-transfer ABCD matrix is explicitly shown by EFO's normally ordered expansion through the coherent state representation and the technique of integration within an ordered product of operators.

关键词: Fresnel operator, Quantum optical ABCD theorem

Abstract: By introducing the entangled Fresnel operator (EFO) this paper demonstrates that there exists ABCD theorem for two-mode entangled case in quantum optics. The canonical operator method as mapping of ray-transfer ABCD matrix is explicitly shown by EFO's normally ordered expansion through the coherent state representation and the technique of integration within an ordered product of operators.

Key words: Fresnel operator, Quantum optical ABCD theorem

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv