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.
Received: 02 August 2007
Revised: 10 September 2007
Accepted manuscript online:
PACS:
42.50.Dv
(Quantum state engineering and measurements)
Fund: Project
supported by the National Natural Science Foundation of
China (Grant Nos 10775097 and 10475056).
Cite this article:
Fan Hong-Yi(范洪义) and Hu Li-Yun(胡利云) Quantum optical ABCD theorem in two-mode case 2008 Chin. Phys. B 17 1640
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