| Original Articles |
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Fresnel-Transform's Quantum Correspondence and Quantum Optical ABCD Law |
| FAN Hong-Yi;HU Li-Yun |
| Department of Physics, Shanghai Jiao Tong University, Shanghai 200030 |
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| Cite this article: |
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FAN Hong-Yi, HU Li-Yun 2007 Chin. Phys. Lett. 24 2238-2341 |
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Abstract Corresponding to the Fresnel transform there exists a unitary operator in quantum optics theory, which could be known the Fresnel operator (FO). We show that the multiplication rule of the FO naturally leads to the quantum optical ABCD law. The canonical operator methods as mapping of ray-transfer
ABCD matrix is explicitly shown by the normally ordered expansion of the FO through the coherent state representation and the technique of integration within an ordered product of operators. We show that time evolution of the damping oscillator embodies the quantum optical ABCD law.
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| Keywords:
42.50.-p
42.25.Bs
03.65.Ud
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Received: 29 May 2007
Published: 25 July 2007
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| PACS: |
42.50.-p
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(Quantum optics)
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42.25.Bs
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(Wave propagation, transmission and absorption)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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