两类新型多模叠加态光场的二阶不等幂次Nj次方H压缩

根据量子力学的线性叠加原理,构造了两类新型的多模叠加态光场;利用多模压缩态理论,首次详细研究了这两类多模叠加态光场的二阶不等幂次N_j次方H压缩特性.结果发现:在各模场幅幂次N_j不等（全部偶数、全部奇数、部分偶数、部分奇数）的情况下,当各模的初始相位、两态叠加的几率幅以及纵模总数等分别满足一定的条件时,这两类新型的多模叠加态光场总可呈现出周期性变化的、二阶不等幂次的N_j次方H压缩效应,这种纯量子效应说明它们属于多模非经典光场;同时,本文的研究结果还表明,上述两类多模叠加态光场之间存在“相似庄缩”与“压缩简并”现象。

Properties of the Second-order Unequal-power Nj-th Power H-squeezing in the Two New Type of Multi-mode Superposition State Light Field

According to linear superposition principle of quantum mechanics, it is constructed respectively two new type of multi-mode superposition state light field. By using the general theory of the unequal-order multi-mode squeezed state, the properties of generalized nonlinear second-order unequalled-power Aj-th power H-squeezing of the two type multi-mode superposition states mentioned above are studied firstly in detail. It is found that the two new type multi-mode superposition states can present second-order unequalled-power Nj-th power H-squeezing effect that changes periodically under the case of different amplitude power of each mode (the amplitude powers of all modes are even number; or the amplitude powers of all modes are odd number; or part modes are odd and others are even ), and the initial phase of each mode, and the two state superposition propability amplitudes, and all of the cavity-mode number and so on satisfy respectively certain condition. This pure quantization effect demonstrates that the two states are typical multi-mode nonclasical light fields, and found that between the states mentioned above present the phenomena of second-order unequal-powerN_j-th power H-similitude squeezing and N_j-th power H-degenerate squeezing.