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

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Ⅰ种四态叠加多模叠加态光场|Ψ_o⁽⁴⁾,I〉_q,利用多模压缩态理论,研究了态|Ψ_o⁽⁴⁾,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_o⁽⁴⁾,I〉_q可分别呈现三种状态:a)态|Ψ_o⁽⁴⁾,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_o⁽⁴⁾,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_o⁽⁴⁾,I〉_q可分别呈现三种状态:a)态|Ψ_o⁽⁴⁾,I〉_q可处于等阶N-Y最小测不准态;b)态|Ψ_o⁽⁴⁾,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_o⁽⁴⁾,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_o⁽⁴⁾,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Y压缩效应.

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 CONJUGATION

According to the linear Superimposition principle of quantummechanics 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:astate ｜Ψ(4)o,I〉qstayed equal-order N-Y minimum uncertainty state; band the first quadrature component of state ｜Ψ(4)o,I〉qpresent the properties of N-th power Y-squeezing;cand state ｜Ψ(4)o,I〉qpresent the effect of “half coherent state”.2)When squeezed order N is odd number,and r1＝r2，state ｜Ψ(4)o,I〉qin other different conditions have three kinds state of affairs: astate ｜Ψ(4)o,I〉qstayed equal-order N-Y minimum uncertainty state; band the first quadrature component of state ｜Ψ(4)o,I〉q present the propeties of N-th power Y-squeezing; cand the second quadrature component of state ｜Ψ(4)o,I〉qpresent 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.