两不同奇相干态组成的第种四态叠加多模叠加态光场的等阶N次方Y压缩

THE PROPERTIES OF GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER Y-SQUEEZING IN THE FIRST FOUR-STATE SUPERIMPOSITION MULTI-MODE SUPERIMPOSITION STATE LIGHT FIELD WITCH BE BUILT UP OF MULTI-MODE ODD COHERENT STATE AND MULTI-MODE COMPLEX CONJUGA

根据量子力学中的线性叠加原理 ,构造了由多模奇相干态与多模复共轭奇相干态这两种不同的奇相干态的线性叠加所组成的第 种四态叠加多模叠加态光场 |Ψ( 4 )o ,I〉q,利用多模压缩态理论 ,研究了态 | Ψ( 4 )o ,I〉q的等阶 N次方 Y压缩特性 .结果发现 :1 )当压缩阶数 N为偶数时 ,在不同的条件下 ,态 | Ψ( 4 )o ,I〉q 可分别呈现三种状态 :a)态 | Ψ( 4 )o ,I〉q可处于等阶 N- Y最小测不准态 ;b)态 | Ψ( 4 )o ,I〉q的第一正交分量可呈现等阶 N次方 Y压缩效应 ;c)态 | Ψ( 4 )o ,I〉q可呈现“半相干态”效应 .2 )当压缩阶数为奇数时 ,若果 r1=r2 =r,则在不同的条件下 ,态 |Ψ( 4 )o ,I〉q可分别呈现三种状态 :a)态 |Ψ( 4 )o ,I〉q可处于等阶 N - Y最小测不准态 ;b)态 |Ψ( 4 )o ,I〉q的第一正交分量可呈现等阶 N次方 Y压缩效应 ;c)态 | Ψ( 4 )o ,I〉q的第二正交分量可呈现等阶 N次方 Y压缩效应 .3)“半相干态”是指在一定条件下 ,态 | Ψ( 4 )o ,I〉q的两个正交分量其中一个正交分量处于等阶N- Y最小测不准态 ,另一个正交分量既不处于等阶 N- Y最小测不准态也不呈现等阶 N次方

According to the linear Superimposition principle of quantum mechanics in this paper,it is constructed the first kind of four state superimposition multimode superimposition state light field ｜Ψ (4) o,I〉 q with two different kinds of multimode odd coherent state and multimode complex conjugation odd coherent state light field.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 generalized nonlinear equal order N th power Y squeezing of the state ｜Ψ (4) o,I〉 q mentioned are studied firstly in detail.It is found that 1)when squeezed order N is even number.State ｜Ψ (4) o,I〉 q in other different coditions have three kinds state of affairs:a○ state ｜Ψ (4) o,I〉 q stayed equal order N Y minimum uncertainty state; b○ and the first quadrature component of state ｜Ψ (4) o,I〉 q present the properties of N th power Y squeezing;c○ and state ｜Ψ (4) o,I〉 q present the effect of “half coherent state”.2)When squeezed order N is odd number,and r 1=r 2,state ｜Ψ (4) o,I〉 q in other different conditions have three kinds state of affairs: a○ state ｜Ψ (4) o,I〉 q stayed equal order N Y minimum uncertainty state; b○ and the first quadrature component of state ｜Ψ (4) o,I〉 q present the propeties of N th power Y squeezing; c○ and the second quadrature component of state ｜Ψ (4) o,I〉 q present the properties of N th power Y squeezing;3)“half coherent state” effect was first reported in this paper is one quadrature component of state ｜Ψ (4) o,I〉 q stayed equal order N Y minimum uncertainty state and the other quadrature component of state ｜Ψ (4) o,I〉 q in the same codition is neither stayed the properties of equal order N th power Y squeezing nor stayed the equal order N Y minimum uncertainty state.