量子光学中将算符转化为反正规排序的简捷方法A Concise Method for Converting Operators into Anti-normal Sorting in Quantum Optics
万志龙,范洪义,王昌英,周希希
摘要(Abstract):
利用相干态表象推导出了将算符反正规排序转化为正规排序的基本算符恒等式,并给出了把一般算符转化为反正规排序的基本方法.在此基础上,推导出了压缩算符的反正规乘积形式及其Wigner函数.
关键词(KeyWords): 算符恒等式;压缩算符;反正规乘积;Wigner函数
基金项目(Foundation): 常州工学院大学生创新创业训练计划项目(202311055027X)
作者(Author): 万志龙,范洪义,王昌英,周希希
DOI: 10.16393/j.cnki.37-1436/z.2024.05.016
参考文献(References):
- [1]Scully M O,Zubairy M S.Quantum optics[M].UK:Cambridge University Press,1997.
- [2]曾谨言.量子力学:3版.卷I[M].北京:科学出版社,2000.
- [3]Kimble H J,Dagenais M,Mandel L.Photon Antibunching in Resonance Fluorescence [J].Physical Review Letters,1977,39:691-695.
- [4]Short R,Mandel L.Observation of Sub-Poissonian Photon Statistics [J].Physical Review Letters,1983,51:384-387.
- [5]范洪义,袁洪春.从相干态到压缩态[M].合肥:中国科学技术大学出版社,2012.
- [6]范洪义.量子力学表象与变换论[M].上海:上海科学技术出版社,1997:43-44.
- [7]Fan H Y,Weng H G.Simple Approach for Deriving the Weyl Correspondence Product Formula[J].Communications in Theoretical Physics,1992,18(3):343-346.
- [8]Fan H Y,Zaidi H R.Application of IWOP Technique to the Generalized Weyl Correspondence[J].Physics Letters A,1987,124(6-7):303-307.
- [9]Kenfack A,Zyczkowski K.Negativity of the Wigner Function as an Indicator of Nonclassicality[J].Journal of Optics B Quantum & Semiclassical Optics,2004,6:396-404.