摘要
本文在文献２０的基础上进一步提出了多模辐射场的Ｎ－Ｙ最小测不准态、Ｎ－Ｈ最小测不准态、Ｎ－Ｙ压缩最小测不准态以及Ｎ－Ｈ压缩最小测不准态等的定义．构造了由多模（ｑ模）相干态｜｛Ｚｊ｝＞ｑ及其相反态｜｛－Ｚｊ｝＞ｑ的线性叠加所组成的第Ⅰ类两态叠加多模叠加态光场｜ψ（２）１＞ｑ，利用文献２０新近提出的有关多模辐射场的两种非线性高阶压缩的定义，首次对态｜ψ（２）１＞ｑ的Ｎ次方Ｙ压缩及Ｎ次方Ｈ压缩效应进行了详细研究．结果表明，１）当Ｎ为偶数时，态｜ψ（２）１＞ｑ恒处于Ｎ－Ｙ最小测不准态；当Ｎ为奇数时，态｜ψ（２）１＞ｑ在一定条件下可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为偶数时，态｜ψ（２）１＞ｑ恒处于Ｎ－Ｈ最小测不准态；当ｑ·Ｎ为奇数时，在另外的条件下，态｜ψ（２）１＞ｑ则可呈现出周期性变化的、任意阶的Ｎ次方Ｈ压缩效应．３）Ｎ次方Ｙ压缩及Ｎ次方Ｈ压缩效应的压缩深度与腔模总数ｑ、压缩参数Ｒｊ以及压缩阶数Ｎ等非线性相关，后者与上述参量的非线性关联程度要比前者的更强．
In this paper,a series of new definitions,such as N Y minimum uncertainty state,N H minimun uncertainty state,N Y squeezed minimum uncertainty state and N H squeezed minimum uncertainty state of multi mode radiative light field is further suggested by Hou Xun and Yang Zhiyong firstly,that is based upon the definition of both Nth power Y squeezing and Nth power H squeezing proposed in reference 20 According to the linear superposition principle in quantum mechanics,it is constructecl the multi mode light field state of superposition state with distinguishable two quantum states in the kind (Ⅰ) |φ (2) 1> q which is made of linear superposition of multi mode coherent state |{Z j}> q and its contrary state |{-Z j}> q So the two kinds of nonlinear higher order squeezing effects,both Nthe power Y squeezing and Nth power H squeezing,of the state |ψ (2) 1> q is therefore studied in detail by using the definition of nonlinear higher order squeezing of multi mode radiative light field which is proposed recently in reference 20 The result shows that 1),when N,the number of squeezing order,is even mumber,the state |ψ (2) 1> q is alway in N Y minimum uncertainty state;when N is odd number,the state |ψ (2) 1> q,under some certain conditions,can present any order Nth power Y squeezing which changes periodically;2)when q·N,the products of cavity modes number and squeezing order number,is even number,the state |ψ (2) 1> q is always in N H minimum uncertainty state;when q·N is odd number,under some other conditions the state |ψ (2) 1> q can also present any order N th power H squeezing that changes periodically;and 3)the depth and degree of both Nth power Y squeezing and Nth power H squeezing are related nonlinearly to the cavity modes number q,to the squeezed parameter R j,and to the squeezing order number N;the later is more intensive than the former
出处
《光子学报》
EI
CAS
CSCD
1998年第10期865-879,共15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
关键词
两态叠加
多模叠加态
光场
非线性
高阶压缩
Superposition state with distinguishable two quantum states
Multi mode light field state of superposition state
Nonlinear higher order squeezing effects
N Y minimum uncertainty state
N H minimum uncertainty state
N Y squeezed minimum uncertainty stat
