第V类两态叠加多模叠加态光场的广义非线性等阶N次方Y压缩

本文构造了由多模真空态|{0_j}>_q和多模虚相干态的相反态|{-iZ_j}>_q这两者的线性叠加所组成的第V类两态叠加多模叠加态光场|ψ₅⁽²⁾>_q.利用多模压缩态理论,研究了态|ψ₅⁽²⁾>_q的广义非线性等阶N次方Y压缩特性.结果发现:1)态|ψ₅⁽²⁾>_q是一种典型的多模非经典光场;无论压缩阶数N取奇还是取偶,只要各模的初始相位φ_j(j=1,2,3,…,…,q)和态间的初始相位差(θ_nq^(I)-θ_oq^(o))等满足一定的取值条件,态|ψ₅⁽²⁾>_q总可呈现出周期性变化的、任意奇数阶和任意偶数阶的广义非线性等阶N次方Y压缩效应.2)态|ψ₅⁽²⁾>_q所分别呈现的任意奇数阶和任意偶数阶的等阶N次方Y压缩效应,其压缩条件、压缩特征以及压缩程度和压缩深度等各不相同.3)无论压缩阶数N取奇还是取偶,态|ψ₅⁽²⁾>_q的第一和第二这两个正交分量的等阶N次方Y压缩效应总是呈现出周期性的互补关系.

THE PROPERTIES OF GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER Y-SQUEEZING IN THE FIFTH KIND OF MULTIMODE SUPERPOSITION STATE LIGHT FIELD WITH THE SUPERPOSITIONS OF MACROSCOPICALLY DISTINCT TWO QUANTUM STATES

In this paper,the theory of multimode squeezed states established by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica is utilized to study the properties of generalized nonlinear equal-order N-th power Y-squeezing of the fifth kind of multimode superposition state light field |ψ₅⁽²⁾>_q that is made of the linear superpositions of multimode vaccum state |{0_j}>_q and the contrary state |{-iZ_j}>_q of multimode imaginary coherent state |{iZ_j}>_q It is found that 1)the state |ψ₅⁽²⁾>_q is one of the typical multimode nonclassical light field,if some certain quantization conditions are satisfied respectively by the initial phase φ j (here,j=1,2,3,…,…,q) of each mode,and by the initial phase difference (θ_nq^(I)-θ_oq^(o)) between the two components |{0_j}>_q and |{-iZ_j}>_q mentioned above,the state |ψ₅⁽²⁾>_q can always displays both any odd-number-order generalized nonlinear equal-order N-th power Y-squeezing while the squeezing-order-number N is an odd-mumber and any even-number-order generalized nonlinear equal-order N-th power Y-squeezing while the squeezing-order-number N is an even-number,that changes periodically 2)since the squeezing conditions are not the same for the two different situations that the squeezing-order-number N is equal to an odd number and to an even-number respectively,the squeezing characteristic,the squeezing degree and the squeezing depth are also quite different when the state |ψ₅⁽²⁾>_q presents any odd-number-order and any even-number-order generalized nonlinear equal-orderN-th power Y-squeezing respectively 3)whether the squeezing-order-number N is an odd-number or an even-number,the equal-order N-th power Y-squeezing effects displayed by the first perpendicular component and by the second perpendicular component of the state |ψ₅⁽²⁾>_q mentioned can always display the relation of periodical reciprocation.