第Ⅰ种强度不对称三态叠加多模叠加态光场N次方Y压缩—第一正交相位分量的压缩情况

根据量子力学中的线性叠加原理,构造了由三个强度不等的多模相干态光场|{Z_j^(A)}>_q、|{Z_j^(B)}>_q和|{Z_j^(C)}>_q的线性叠加所组成的第Ⅰ种强度不对称三态叠加多模叠加态光场|ψ_l^(ABC)>_q.利用多模压缩态理论,研究了态|ψ_l^(ABC)>_q的第一正交方分量(即磁场分量)的广义非线性等幂次N次方Y压缩特性.结果发现:①在上述各多模相干态光场中各模的强度和各模的初始相位各不相等的情况下,态|ψ_l^(ABC)>_q的第一正交分量-磁场分量在一定的条件下,总可呈现出周期性变化的、任意等幂次的N次方Y压缩效应;②当上述各多模相干态光场的强度和各模的初始相位相等时,态|ψ_l^(ABC)>_q的磁场分量的N次方Y压缩现象消失,态|ψ_l^(ABC)>_q可恒处于等幂次N-Y最小测不准态.

GENERALIZED NONLINEAR EQUAL POWERN-TH POWER Y-SQUEEZINGIN THE FIRST KIND OF THREE STATE SUPERPO-SITIONMULTIMODE SUPERPOSITION.STATE LIGHT FIELD-N-th Power Y-squeezing of phase Component

According to the linear superpositien principle of quantum mechanics,a new type of multimode superposition state light field |ψ_l^(ABC)>_q is constructed,that is made of the macroscopically distinct three different multimode coherent states |Z_j^(A)}>_q、|Z_j^(B)}>_qand |Z_j^(C)}>_q with unsymmetry and unequal intensity.So the properties of generalized nonlinear equal-power N-th power Y-squeezing of the first perpendicular component(or magnetic component) are studied in detail by untilizing the multimode squeezed state theory established by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica.It is found that:1) under the conditions of unequal intensity of each mode,initial unequal phase of each mode and unsymmetry of the three multimode coherent states |{ Z_j^(A)}>_q、|{ Z_j^(B)}>_q and|{ Z_j^(C)}>_q,the first perpendicular component-magnetic component of the state |ψ_l^(ABC)>_q mentionecl above can present any equal-power N-th power Y-squeezing effects with changes periodically;and 2) under the conditions of equal-intensity of each mode,initial equal phase of each mode and symmetry of one,the properties of equal-power N-th power Y-Squeezing of the magnetic component disappear,and the state|ψ_l^(ABC)>_q can only stay in the equal-power N-Y minimum uncertainty state.