科研之友
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摘要
We propose a new two-mode squeezed coherent state representation |z(1), z(2)>(g) which is characteristic of the correlation between the squeezing and the displacement. Based on it and using the technique of integration within an ordered product of operators we obtain a generalized two-mode Fresnel operator (GTFO), which is an image of the mapping from (z(1),z(2)) to (sz(1) + rz*(2), rz*(1) + sz(2)) in |z(1), z(2)>(g) representation. The matrix element of GTFO in the coordinate representation leads to a generalized two-dimensional Collins formula (Huygens-Fresnel integration transformation describing optical diffraction) in entangled form.
