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Collins diffraction formula and the Wigner function in entangled state representation

2009/01/04 by Hong-yi Fan, Fan, Hong-yi, Li-yun Hu +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.0901.0364

6 pages, no figure

arxiv created 2009/01/04 · arxiv updated 2009/12/01

Abstract

Based on the correspondence between Collins diffraction formula (optical Fresnel transform) and the transformation matrix element of a three-parameters two-mode squeezing operator in the entangled state representation (Opt. Lett. 31 (2006) 2622) we further explore the relationship between output field intensity determined by the Collins formula and the input field's probability distribution along an infinitely thin phase space strip both in spacial domain and frequency domain. The entangled Wigner function is introduced for recapitulating the result.

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