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

作者机构：Key Laboratory of Atmospheric OpticsAnhui Institute of Optics and Fine MechanicsChinese Academy of SciencesHefei 230031China University of Science and Technology of ChinaHefei 230031China Huainan Normal UniversityHuainan 232038China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2020年第29卷第3期

页      面：101-104页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

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) 

主　　题：integration-transform two-mode entangled state Weyl–Wigner correspondence theory 

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.