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受量子相位调制的两态叠加多模叠加态光场的广义非线性等阶N次方Y压缩
引用本文:张党卫,杨志勇,侯洵,张振杰,侯瑶.受量子相位调制的两态叠加多模叠加态光场的广义非线性等阶N次方Y压缩[J].光子学报,2000,29(7):583-594.
作者姓名:张党卫  杨志勇  侯洵  张振杰  侯瑶
作者单位: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. 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;西北大学现代物理研究所,西安,710069
3. 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;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
4. 西北大学物理学系,西安,710069
基金项目:陕西省自然科学基金,陕西省教育厅资助项目,西北大学校科研和教改项目,,,,,,
摘    要:本文根据量子力学中的线性叠加原理,构造了由受量子相位调制的多模(即q模)虚相干态|{im1Zj}〉q及其相反态|{-im2Zj}〉q这两者的线性叠加所组成的一种新型的两态叠加多模叠加态光场|ψm1,m2(2)q.利用新近建立的多模压缩态理论,详细研究了态|ψm1,m2(2)q的广义非线性等阶N次方Y压缩特性.结果发现:1)无论态间的初始相位差(θm2m1)、各模的初始相位φj、腔模总数q、压缩参量Rj以及两态叠加的几率幅rm1rm2等取何值,无论压缩阶数N取奇还是取偶,只要相位调制因子m1和m2与压缩阶数N的关系满足一定的量子化条件,态|ψm1,m2(2)q就恒处于等阶N-Y最小测不准态.2)当态间的初始相位差(θm2m1)在态间压缩区2kθπ-π/2+ {Rj2(m2-m1)π/2]},2kθπ+π/2+ {Rj2(m2-m1)π/2]}]内取值时,无论压缩阶数N取奇还是取偶,只要相位调制因子m1m2N的关系式以及各模的初始相位φj等满足一定的量子化条件,态|ψm1,m2q就可呈现出周期性变化的,任意阶的等阶N次方Y压缩效应.3)利用相位调制因子m1m2与压缩阶数N之间的解析关系式,可直接确定出|ψm1,m2q呈现等阶N次方Y压缩效应时的压缩阶数N.4)文献2、11、15关于等阶N次方Y压缩的研究结果,仅仅是本文所得普遍性结果在相位调制因子m1m2取不同值时的特例.

关 键 词:量子相位调制  相位调制因子  两态叠加  多模叠加态光场  等阶N-Y最小测不准态  等阶N次方Y压缩
收稿时间:1999-12-07
修稿时间:1999-12-07

THE PROPERTIES OF GENERALIZED NONLINEAR EQUAL-ORDER N-H POWER Y-SQUEEZING IN A NEW KIND OF MULTI-MODE LIGHT FIELD STATE WITH SUPERPOSITIONS OF MACROSCOPICALLY DISTINCT TWO QUANTUM STATES MODULATED BY THE TWO DEFFERENT QUANTUM PHASE
Zhang Dangwei,Yang Zhiyong,Hou Xun,Zhang Zhenjie,Hou Yao.THE PROPERTIES OF GENERALIZED NONLINEAR EQUAL-ORDER N-H POWER Y-SQUEEZING IN A NEW KIND OF MULTI-MODE LIGHT FIELD STATE WITH SUPERPOSITIONS OF MACROSCOPICALLY DISTINCT TWO QUANTUM STATES MODULATED BY THE TWO DEFFERENT QUANTUM PHASE[J].Acta Photonica Sinica,2000,29(7):583-594.
Authors:Zhang Dangwei  Yang Zhiyong  Hou Xun  Zhang Zhenjie  Hou Yao
Institution:1. Institute of Photonics & Photon Technology, and Provincial Key Laboratory of Photoelectronic Technology, Northwest University, Xi′an 710069;2. Institute of Modern Physics, Northwest University, Xi′an 710069;3. Xi′an I nstitute of Optics & Precision Mechanics, and State Key Laboratory of Transient Optical Technology, the Academy of Science of China, Xi′an 710068;4. Physics Department of Northwest University, Xi′an 710069
Abstract:According to the linear superposition principle in quantum mechanics,it is constructed a new kind of multi mode light-field state |ψm1,m2(2)q which is made of linear superpositions of macroscopically distinct two quantum states named multi-mode (or q-mode) imaginary coherent states |{im′Zj}〉q modulated by quantum coefficient m1 and the contrary state of multi-mode imaginary coherent states |{im2Zj}q,also modutaled by quantum phase coefficient m2,respectively in this paper.By using the theory of multi mode squeezing state that is established recently by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica from 1998.4 to 1999.5,the generalized nonlinear equal order N-th power Y-squeezing effects of the state |ψm1,m2(2)q is studied firstly in deteil.It is found that:1)Whether the initial phase difference (θm2m1) between the two components of the state |ψm1,m2(2)q changes,the initial phase φj(j=1,2,3,…,…,q) of all modes,the sum number of cavity mode number q,the squeezing parameters Rj(j=1,2,3,…,…,q) and the propability amplitudes rm1 and rm2 of superpositions of the macroscopically distinct two quantum states modulated by the two different quantum phase im1 and im2 (here i=-1 etc,change,and whether the squeezed order number N is an odd number or an even number,while a series of quantization conditions between the relation of the squeezed order number N and the first phase modulating coefficient m1 and the relation of the squeezed order number N and the second phase modulating coefficient m2 are satisfied,the state |ψm1,m2(2)q is always stayed in the equal-order N-Y minimum uncertainty state.2)When the initial phase difference (θm2m1) mentioned above changes,within the region 2kθπ-π/2+ {Rj2(m2-m1)π/2]},2kθπ+π/2+ {Rj2(m2-m1)π/2]}],whether the squeezed order number N is an odd number or an even number,while a series of the quantization conditions are satisfied by the relation between the squeezed order number N and the first phase modulating coefficient m1 by the relation between the squeezed order number N and the second phase modulating coefficient m2 and by the initial phase φj(j=1,2,3,…,…) of all modes,the states |ψm1,m2(2)q always presents the effect of any order equal order N-th power Y-squeezing,which changes periodically.3)The squeezed order number N of the equal order N-th power Y-squeezing of the state |ψm1,m2(2)q can be determined directly by utilizing the relation between the squeezed order N and the phase modulating coefficient m1 and m2.4)The results on their generalized nonlinear equal order N-th power Y-squeezing of reference 2,11 and 15,published in Acta Photonica Sinica,appear to be only the specific examples of our paper,only when m1 and m2 satisfy the following conditions:m1=m2=0;m1=m2=1 and m1=1,m2=2 respectively.
Keywords:Quantum phase modulating  Phase modulating coefficient  Superpositions of macroscopically distinct two quantum state  Multi  mode superposition light  field state  Equal  order N  Y minimum uncertainty state  Equal  order N  th power Y-squeeze
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