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利用新近提出的多模辐射场的广义非线性等阶高阶压缩理论，对多模复共轭奇、偶相干态光场的Ｎ次方Ｙ压缩与Ｎ次方Ｈ压缩特性进行了详细研究．结果发现：①多模复共轭奇相干态光场，压缩阶数Ｎ为偶数时，只存在Ｎ－Ｙ最小测不准态；而当腔模总数ｑ与压缩阶数的乘积ｑ·Ｎ为偶数时，只存在Ｎ－Ｈ最小测不准态；此外，无论Ｎ及ｑ·Ｎ为何值，不呈现Ｎ次方Ｙ压缩与Ｎ次方Ｈ压缩效应．②多模复共轭偶相干态光场在一定条件下可呈现出周期性变化的任意阶的Ｎ次方Ｙ压缩与Ｎ次方Ｈ压缩效应．③多模偶相干态光场与多模复共轭偶相干态光场两者的压缩效果和压缩特性完全相同，这种现象称为“压缩简并”
The N-th power Y-squeezing and N-th power H-squeezing properties of multimode complex conjugate odd and even coherent state light fields are studied in detail by using the newly proposed generalized nonlinear equal-order higher-order squeezing theory of multimode radiation field. The results show that: (1) there exists only the N-Y minimum uncertainty state when the multi-mode complex conjugate odd coherent state light field has an even number of compressing order N; and when the product q · N of the total number of cavity modes and the compressing order is In the case of even numbers, there is only the N-H minimum inaccurate state. In addition, the N-th power Y-compression and the N-th power-squared H-squelch effect is not present no matter what N and q · N are. (2) The multi-mode complex conjugate even-phase coherent state light field can exhibit the N-th power Y-squeezing and the N-th power H-squeezing effect of arbitrary order under certain conditions. ③ The multi-mode even-coherent state light field and the multi-mode complex conjugate even-phase coherent state light field have the same compression and compression characteristics. This phenomenon is called “compression and degeneration”