光子学报 ›› 1998, Vol. 27 ›› Issue (11): 961-974.

• 论文 •    下一篇

第Ⅱ类两态叠加多模叠加态光场的非线性高阶压缩特性研究

杨志勇1, 侯洵1,2   

  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, 瞬态光学技术国家重点实验室 西安 710068
  • 收稿日期:1998-06-25 出版日期:1998-11-25 发布日期:1998-11-25
  • 基金资助:
    陕西省自然科学基金;陕西省教委专项科研基金

PROPERTIES OF NONLINEAR HIGHER-ORDER SQUEEZING IN SECOND KIND OF MULTI-MODE LIGHT FIELD STATE OF SUPERPOSITION STATE WITH DISTINGUISHABLE TWO QUANTUM STATES

Yang Zhiyong1, Hou Xun1,2   

  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 & Precision Mechanics, and State Key Laboratory, of Transient Optical Technology, the Academy of Sciences of China, Xi’an 710068, P. R. China
  • Received:1998-06-25 Online:1998-11-25 Published:1998-11-25
  • 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: 本文根据量子力学中的线性叠加原理,构造了由多模(即q模)虚相干态|{iZj}>q及其相反态|{-iZj}>q的线性叠加所组成的第Ⅱ类两态叠加多模叠加态光场|ψ2(2)>q.利用新近建立的有关双模及多模辐射场的非线性高阶压缩理论,首次对态|ψ2(2)>q的两种非线性高阶压缩(即N次方Y压缩和N次方H压缩)效应进行了详细研究。结果表明:1)当N为奇数时,如果各模的初始相位满足一定的量子化条件,而态间的初始相位差在其态间压缩区内连续变化;或者态间的初始相位差取某一特定值,而各模的初始相位在其腔模压缩区内连续变化时,态|ψ2(2)>q就会呈现出周期性变化的、任意阶的N次方Y压缩效应。2)当q·N为奇数时,如果各模的初始相位和满足一定的量子化条件,而态间的初始相位差在上述的态间压缩区内连续变化;或者态间的初始相位差取上述的某一固定值,而各模的初始相位和在其腔模和压缩区内连续变化时,态|ψ2(2)>q就呈现出周期性变化的、任意阶的N次方H压缩效应。3)与文献10相比,态|ψ2(2)>q与态|ψ(2)1>q这两者之间的压缩情况正好相反。

关键词: 多模虚相干态, 两态叠加, 非线性高阶压缩, N次方Y压缩, N次方H压缩, 腔模压缩区, 态间压缩区, 腔模和压缩区

Abstract: According to the linear superposition principle in quantum mechanics,we constructed the second kind of multi-mode light field state |ψ2(2)>q which is cemposed of the linear superposition with distinguishable two quantum states named multi-mode (or q-mode) imaginary coherent state |{iZj}>g and its contrary state |{-iZj}>g respectively in this paper.By using the nonlinear higher-order squeezing theory of multi-mode radiative light field which is established recently by Yang Zhiyong and Hou Xun in references 8~10,it is studied the two nonlinear higher-order squeezing effects,both N-th power Y squeezing and N-th power H-squeezing,of the state |ψ2(2)>q firstly in detail.It is found that (1),if N=2p+1(p=0,1,2,3,…,…),when the initial phase of all modes satisfy their quantization condition and when the initial phase difference between the state |{iZj}>q and the state |{-iZj}>q changes continuously within its squeezing region,or when the initial phase diffevence between the states mentiened above equals a specific value and the initial phase of all modes changes continuously within its cavity-mode squeezing region,the state |ψ2(2)>q always presents and order N-th power Y-squeezing effect that changes periodically;(2),if q·N=2p+1(p=0,1,2,3,…,…),when the initial phase sum of all modes satisfy its quantization condition and the initial phase difference between state |{iZj}>q and |{-iZj}>q changes continuously within its another squeezing region,or the initial phase difference between state |{iZj}>q and |{-iZj}>q is equal to the specific value mentioned above and the initial phase sum of all modes changes continuously with its cavity-mode-sum squeezing region,the state |ψ2(2)>q can always display any order N-th power H-squeezing which changes periodically too;(3),compared with the investigation in reference 10,both the behaviours and the conditions of nonlinear higher-order squeezing between the state |ψ2(2)>q and the state |ψ (2) 1>q is just contrary.

Key words: Multi-mode imaginary coherent state, Superposition state with distinguishable two quantum states, Nonlinear higher-order squeezing effects, N-th power Y-squeezing, N-th power H-squeezing, Cavity-mode squeezing region, Squeezing region between two state