正交偶相干态的m阶压缩特性

引入正交偶相干态的概念，将计算过程转换成相干态的基本计算，得出光子湮灭算符ｍ次幂ａ＾ｍ的实部算符Ｘｍ和虚部算符Ｙｍ的正交偶相干态下的不确定关系和量子起伏规律，对ｍ取值按ｍ＝４ｋ（ｋ＝１，２，３．．．．）ｍ＝４ｋ＋１（ｋ＝０，１，２，．．．）ｍ＝４ｋ＋２（ｋ＝０，１，２，．．．）和ｍ＝４ｋ＋３（ｋ＝０，１，２．．．）等４种情况进行了较为详细的计算和讨论，分别得出了在这４种情况下正交偶相干态的ｍ阶压缩

Mth-order Squeezing Properties of Orthogonal-even Coherent States

In this paper, the concept of orthogonal-even coherent states is introduced, and through transforming its calculation to that of coherent state, the uncertain relation and quantum fluctuation law of the real part operator X m and the imaginalry part Y m of the mth-power of photon annihilation operator in this states are obtained. For every possible value of m, mth-order squeezing properties in orthogonal-even coherent states are discussed in detail, and general result was gained at last that there is only mth-order squeezing of orthogonal component X m or Y m when m=4k+2 in this states.