第Ⅱ类三态叠加多模叠加态光场等幂次2m+1次方Y压缩

构造了由多模虚相干态|{iZ_j}>_q、多模虚相干态的相反态|{-iZ_j}>_q和多模真空态|{O_j}>_q这三种不同的量子光场态的线性叠加所组成的第Ⅱ类三态叠加多模叠加态光场|ψ₂⁽³⁾>_q.利用多模压缩态理论,研究了态|ψ₂⁽³⁾>_q的广义非线性等幂次2m+1次方Y压缩特性.结果发现:在压缩次数N=2m+1(m=0,1,2,3,…,…)的条件下,只要各模的初始相位和态间的初始相位差分别满足一定的取值条件,态|ψ₂⁽³⁾>_q就可呈现出周期性变化的、任意奇数次的广义非线性等幂次N次方Y压缩效应.

GENERALIZED NONLINEAREQUAL-POWER (2m+1)-TH POWERY-SQUEEZING IN THE SECOND KIND OF MULTIMODESUPERPOSITION STATE LIGHT FIELD WITHSUPERPOSITIONS OF MACROSCOPICALLYDISTINCT THREE QUANTUM STATES

The second kind of the three state superposition multimode superposition state light field|ψ₂⁽³⁾> _q is constructed,that is composed of multimode imaginary coherent state|{iZ_j}> _q,contrary state|{-iZ_j}> _q of multimode imaginary coherent state |{iZ_j> _q and multimode vaccum state|{O_j}> _q.And then the multimode squeezed state theory suggested by YangZhiyong and Hou Xun is utilized to study the properties of generalized nonlinear equal-power (2m+1)-th power Y-squeezing of the state|ψ₂⁽³⁾> _q mentioned above.It is found that under the condition of the squeezing power-number N=2m+1(here,m=0,1,2,3,...,...),the first and the second perpendicular phase components of the state |{ψ₂⁽³⁾> _q can all display any odd-number-power generalized nonlinear equal-power N-th power Y-squeezing respectively,which changes periodically while some certain and fixed conditions are satisfied by the initial phase of each mode in the state|ψ₂⁽³⁾> _q,and while the initial phase difference between any two components of the state|ψ₂⁽³⁾> _q change continuously within their own fixed and closed regions respectively.