Optical complex integration-transform for deriving complex fractional squeezing operator  

作　　者：Ke Zhang Cheng-Yu Fan Hong-Yi Fan 张科;范承玉;范洪义(Key Laboratory of Atmospheric Optics,Anhui Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Hefei 230031,China;University of Science and Technology of China,Hefei 230031,China;Huainan Normal University,Huainan 232038,China)

机构地区：[1]Key Laboratory of Atmospheric Optics,Anhui Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Hefei 230031,China [2]University of Science and Technology of China,Hefei 230031,China [3]Huainan Normal University,Huainan 232038,China

出　　处：《Chinese Physics B》2020年第3期101-104,共4页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11775208);Key Projects of Huainan Normal University,China(Grant No.2019XJZD04)。

摘　　要：We find a new complex integration-transform which can establish a new relationship between a two-mode operator's matrix element in the entangled state representation and its Wigner function. This integration keeps modulus invariant and therefore invertible. Based on this and the Weyl–Wigner correspondence theory, we find a two-mode operator which is responsible for complex fractional squeezing transformation. The entangled state representation and the Weyl ordering form of the two-mode Wigner operator are fully used in our derivation which brings convenience.We find a new complex integration-transform which can establish a new relationship between a two-mode operator’s matrix element in the entangled state representation and its Wigner function. This integration keeps modulus invariant and therefore invertible. Based on this and the Weyl–Wigner correspondence theory, we find a two-mode operator which is responsible for complex fractional squeezing transformation. The entangled state representation and the Weyl ordering form of the two-mode Wigner operator are fully used in our derivation which brings convenience.

关 键 词：integration-transform TWO-MODE ENTANGLED state Weyl–Wigner CORRESPONDENCE theory 

分 类 号：O43[机械工程—光学工程]