光子学报 ›› 1999, Vol. 28 ›› Issue (5): 385-392.

• 量子光学 •    下一篇

多模辐射场的广义非线性不等阶高阶压缩的一般理论

杨志勇1, 侯洵1,2,3   

  1. 1. 西北大学光子学与光子技术研究所, 西北大学光电子技术省级重点开放实验室, 西安710069;
    2. 中国科学院西安光学精密机械研究所, 西安710068;
    3. 瞬态光学技术国家重点实验室, 西安710068
  • 收稿日期:1999-02-05 出版日期:1999-05-25 发布日期:1999-05-25
  • 基金资助:
    陕西省自然科学基金;陕西省教委专项科研基金

GENERAL THEORY ON GENERALIZED NONLINEAR UNEQUELLED-ORDER HIGHER-ORDER SQUEEZING OF MULTI-MODE RADIATIVE LIGHT FIELD

Yang Zhiyong1, Hou Xun1,2,3   

  1. 1. Institute of Photonics & Photon-Technology, and Provincial Key Laboratory of Photoelectronic Technology, Northwest University, Xi′an, 710069, P. R. China;
    2. Xi′an Institute of Optics and Precision Mechanics, the Academy of Sciences of China, Xi′an, 710068, P. R. China;
    3. State Key Laboratory of Transient Optical Technology, Xi′an, 710068, P. R. China
  • Received:1999-02-05 Online:1999-05-25 Published:1999-05-25
  • Supported by:
    Supported by the funds of both the natural science of Shaanxi Province and the specialized scientific research of Educational Committee of Shaanxi Province.P. R. China.

摘要: 本文建立了多模辐射场的广义非线性不等阶高阶压缩的一般理论。首次提出了多模辐射场中各模压缩阶数不相等的Nj次方Y压缩、Nj次方H压缩以及Nj次方X压缩的一般性定义,并对Nj-Y最小测不准态、Nj-Y压缩最小测不准态、Nj-H最小测不准态、Nj-H压缩最小测不准态以及Nj-X最小测不准态和Nj-X压缩最小测不准态等进行了详细讨论。指出,Zhang等人在国际上提出的有关单模辐射场的振幅N次方压缩的定义、Mark Hilery在国际上提出的有关双模辐射场的“双模和压缩”与“双模差压缩”的定义以及由笔者新近提出的有关多模辐射场的N次方Y压缩、N次方H压缩和N次方X压缩等的定义,仅仅只是本文所提出的Nj次方Y压缩、Nj次方H压缩以及Nj次方X压缩等的一般性定义在各种不同条件下的特例.

关键词: 多模辐射场, 广义非线性不等阶高阶压缩, Nj次方Y压缩, Nj次方H压缩, Nj次方X压缩, 压缩度, 不等阶最小测不准态, 不等阶压缩最小测不准态

Abstract: In this paper,the general theory of generalized nonlinear unequalled-order higher-order squeezing of multi-mode radiative light field is further constructed by Yang Zhiyong and Hou Xun,thatis based upon developing the current theory of generalized nonlinear equal-order higher-order squeezing of multi-mode radiative light field established by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica in 1998 recently.The general definitions of Nj-th power Y-squeezing,Nj-th power H-squeezing and Nj-th power X-squeezing of multi-mode radiative light field,in which the squeezed order of each mode is unequalled,are proposed firstly,and then the unequalled-order Nj-Y minimum uncertainty state,the unequalled-order Nj-Y squeezed minimum uncertainty state,the unequalled-order Nj-H minimum uncertainty state,the unequalled-order Nj-H squeezed minimum uncertainty state,the unequalled-order Nj-X minimum uncertainty state and the unequalled-order Nj-X squeezed minimum uncertainty state are discussed respectively in detail.The results show that the definition of amplitude N-th power squeezing of single-mode radiative light field that is suggested by Zhang Z.M.et al and published in Phys.Lett.(A),1990,Vol.150,No.1,the definitions of both sum and difference squeezing of two-mode radiative light field presented by Mark Hillery in Phys.Rev.(A),1989,Vol.40,No.6,and also the definitions of N-th power Y-squeezing,N-th power H-squeezing and N-th power X-squeezing,proposed by Yang Zhiyong and Hou Xun mentioned above,of multi-mode radiative light field in which the squeezed order of each mode is equivalent,are only the specific examples of the definitions of Nj-th power Y-squeezing,Nj-th power H-squeezing and Nj-th power X-Squeezing of this paper under different conditions.

Key words: Multi-mode radiative light field, Generalized nonlinear unequalled-order higher-order squeezing, Nj-, Nj-th power Y-squeezing, Nj-, Nj-th power H-squeezing, Nj-, Nj-th power X-squeezing, Squeezed degree, Unequalled-order minimum uncertainty state, Unequalled-order squeezed minimum uncertainty state