摘要
本文根据量子力学中的线性叠加原理 ,分别构造了由多模 (即 q模 )相干态 | { Zj}〉q与多模真空态 | { 0 j}〉q以及由多模相干态的相反态 | { -Zj}〉q与多模真空态 | { 0 j}〉q等的线性叠加所组成的第 及第 类两态叠加多模叠加态光场 | ψ( 2 )+ ,3〉q和 | ψ( 2 )- ,4 〉q.利用新近建立的多模压缩态理论 ,首次对态 | ψ( 2 )+ ,3〉q及态 | ψ( 2 )- ,4 〉q的广义非线性等阶 N次方 Y压缩和等阶 N次方 H压缩特性进行了详细研究 .结果发现 :1 )态 | ψ( 2 )+ ,3〉q 及态 | ψ( 2 )- ,4 〉q是两种典型的多模非经典光场 ,当各模的初始相位 φj(j=1 ,2 ,3 ,… ,q)或者各模的初始相位和 qj =1φj以及态间的初始相位差 (θ( R)± -θ( 0 )± )等分别满足一些特定的量子化条件时 ,态 | ψ( 2 )+ ,3〉q 及态 | ψ( 2 )- ,4 〉q均可呈现出周期性变化的、任意阶的等阶 N次方 Y压缩效应和等阶 N次方 H压缩效应 ;2 )当组成态 |ψ( 2 )+ ,3〉q及态 |ψ( 2 )- ,4 〉q 的各对应复几率幅不相等亦即 C( R)+ ≠ C( R)- 和 C( 0 )+ ≠ C( 0 )- 时 ,态 |ψ( 2 )+ ,3〉q及态 |ψ( 2 )- ,4 〉q这两者的压缩条件和压缩特征虽然相同 ,但其压缩幅度 (即压缩程度和压缩深度 )却不相等 ,这种现象称为“相似压缩”;3 )当组成态 | ψ(
According to the linear superposition principle of quantum mechanics in this paper,it is constructed respectively the third kind of multimode superposition state light field ｜ψ (2) +,3 〉 q composed of the linear superposition of multimode (or q mode) coherent state ｜｛Z j｝〉 q and multimode vaccum state ｜｛0 j｝〉 q,and the fourth kind of multimode superposition state light field ｜ψ (2) -,4 〉 q made of the linear superposition of the contrary state ｜｛-Z j｝〉 q of the multimode coherent state ｜｛Z j｝〉 q and the multimode vaccum state ｜｛0 j｝〉 q mentioned above.By utilizing the theory of multimode squeezed states established recently by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica,the properties of both generalized nonlinear equal order N th power Y squeezing and generalized nonlinear equal order N th power H squeezing of the state ｜ψ (2) +,3 〉 q and the state ｜ψ (2) -,4 〉 q mentioned are studied firstly in detail.It is found that 1) if some certain quantization conditions are satisfied respectively by the initial phase φ j(here j=1,2,3,…,…,q) of each mode,or by the initial phase sum qj=1φ j ,and by the initial phase difference (θ (R) ±-θ (0) ±) between the two components ｜｛±Z j｝〉 q and ｜｛0 j｝〉 q,the state ｜ψ (2) +,3 〉 q and the state ｜ψ (2) -,4 〉 q can always display any order generalized nonlinear equal order N th power Y squeezing and N th power H squeezing that changes periodically,these show that the state ｜ψ (2) +,3 〉 q and the state ｜ψ (2) -,4 〉 q are two kinds of typical nonclasical multimode light fields;2)if the corresponding complex probability amplitudes between the state ｜ψ (2) +,3 〉 q and the state ｜ψ (2) -,4 〉 q are not equal to each other,the state ｜ψ (2) +,3 〉 q and the state ｜ψ (2) -,4 〉 q can always present the ‘similitude squeezing’ of both equal order N th power Y squeezing and equal order N th power H squeezing;and 3)if the corresponding complex probability amplitudes mentioned above are equal to each other,the state ｜ψ (2) +,3 〉 q and the state ｜ψ (2) -,4 〉 q can always present the ‘degenerate squeezing’ of both equal order N th power Y squeezing and equal order N th power H squeezing.
出处
《光子学报》
EI
CAS
CSCD
2000年第5期385-395,共11页
Acta Photonica Sinica
基金
陕西省自然科学基金
陕西省教委专项科研基金
西北大学科学基金资助项目&&
关键词
两态叠加
多模叠加态光场
相似压缩
压缩简并
Superpositions of macroscopically distinct two quantum states
Multimode superposition state light field
Equal order N th power Y squeezing
Equal order N th power H squeezing
Similitude squeezing
Degenerate squeezing
