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一种新型的两态叠加多模Schrödinger猫态光场的等阶N次方Y压缩
引用本文:刘伟民,侯瑶,杨志勇,孙秀泉,侯洵.一种新型的两态叠加多模Schrödinger猫态光场的等阶N次方Y压缩[J].光子学报,1999,28(10):869-883.
作者姓名:刘伟民  侯瑶  杨志勇  孙秀泉  侯洵
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. 西北大学物理学系, 西安 710069;3. 西北大学现代物理研究所, 西安 710069;4. 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
基金项目:陕西省自然科学基金;陕西省教委专项科研基金
摘    要:本文根据量子力学的线性叠加原理,构造了由多模(即q模)相干态的相反态|{-Zj}〉q及多模虚相干态|{Zj}〉q这两者的线性叠加所组成的一种新型的多模Schrdinger猫态光场|Ψ(2)q,利用新近建立的多模压缩态理论,研究了态|Ψ(2)q的N次方Y压缩效应。结果发现:①当压缩阶数N=2pp=2m(m=1,2,3,…,…)时,态|Ψ(2)q总是恒处于N-Y最小测不准态;②当压缩阶数N=2pp=2m+1(m=0,1,2,3,…,…)时,如果各模的初始相位φj,态间的初始相位差θpq(I)-θnq(R)以及各单模相干态光场的平均光子数之总和 等满足一定的量子化条件,则态|Ψ(2)q可呈现出周期性变化的、任意阶的N次方Y压缩效应;③当压缩阶数N=2p′+1时,无论p′=2m(m=0,1,2,…,…)还是p′=2m+1(m=0,1,2,3,…,…),只要各模的初始相位φj满足一定的量子条件,则当两态叠加几率幅满足rpq(I)=rnq(R)时,态|Ψ(2)q就恒处于N-Y测不准态,始终不呈现N-Y最小测不准态和N次方Y压缩;而当rpq(I)rnq(R)时,态|Ψ(2)q始终不呈现N-Y测不准态、N-Y最小测不准态和N次方Y压缩效应。

关 键 词:两态叠加  多模Schrödinger猫态  N次方Y压缩  N-Y测不准态  N-Y最小测不准态
收稿时间:1999-07-23

THE PROPERTY OF GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER Y-SQUEEZING IN A NEW TYPE OF MULTI-MODE SCHRÖDINGER-CAT STATE LIGHT FIELD WITH THE SUPERPOSITIONS OF MACROSCOPICALLY DISTINCT TWO QUANTUM STATES
Liu Weimin,Hou Yao,Yang Zhiyong,Sun Xiuquan,Hou Xun.THE PROPERTY OF GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER Y-SQUEEZING IN A NEW TYPE OF MULTI-MODE SCHRÖDINGER-CAT STATE LIGHT FIELD WITH THE SUPERPOSITIONS OF MACROSCOPICALLY DISTINCT TWO QUANTUM STATES[J].Acta Photonica Sinica,1999,28(10):869-883.
Authors:Liu Weimin  Hou Yao  Yang Zhiyong  Sun Xiuquan  Hou Xun
Institution:1. Institute of Photomcs & Photon-Technotogy, and Provincial Key Laboratory of Photoelectronic Technology, Northwest University, Xi’an 71 0069, P. R. China;2. Department of Physics, Northwest University, Xi′an 710069, P. R. China;3. Institute of Modern Physics, Northwest University, Xi′an 710069, P. R. China;4. 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
Abstract:According to the linear superposition principle in quantum mechanics in this paper,it is constructed a new type of multi-mode Schrdinger-Cat state light field |Ψ(2)q,which is made of the linear superposition of macroscopically distinct two quantum states named the contrary state |{-Zj}〉q of multi-mode (or q-mode) coherent state |{Zj}〉q and the multi-mode imaginary coherent state|{iZj}〉q respectively.By using the theory of multi-mode squeezed states established recently by Yang Zhiyong and Hou Xun in references 25~28,the property of generalized nonlinear equal-order N-th power Y-squeezing of the state |Ψ(2)q mentioned above is studied.It is found that 1)if the squeezed order N=2p and p=2m(m=1,2,3,…,…),the state |Ψ(2)q is always stayed in the N-Y minimum uncertainty state;2)if the squeezed order N=2p and p=2m+1(m=0,1,2,3,…,…),while the quantization conditions are satisfied by the initial phase φj of each mode by the initial phase difference (θpq(I)-θnq(R)) between the two components in the state |Ψ(2)q,and by the sum of average photon mumbers of all the single-mode coherent state light field |Zj〉(here,j=1,2,3,…,q),the multi-mode Schrdinger-Cat state |Ψ(2)q can presents any order N-th power Y-squeezing effect which changes periodically;and 3),if the squeezed order N=2p′+1,whether p′=2m(m=0,1,2,3,…,…) or p′=2m+1(m=0,1,2,3,…,…),meanwhile if some certain conditions of quantization are satisfied by the initial phase φj of each mode,①while the probability amplitudes satisfy rpq(I)=rnq(R),the state |Ψ(2)q is only stayed in the N-Y uncertainty state rather than the N-Y minimum uncertainty state,and ②,while rpq(I)rnq(R),the N-Y uncertainty state,the N-Y minimum uncertainty state,and the N-th power Y-squeezing can never present.
Keywords:Superposition of macroscopically distinct two quantum states  Multi-mode Schrö  dinger-Cat state  N-th power Y-squeezing  N-Y uncertainty state  N-Y minimum uncertainty state
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