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本文以N个相干态|aei(2π)/N n〉(n=0,1,……,N-1)为基矢构造了光子数湮没算子的高次幂aN的N个正交归一的本征函数,并研究了这些态的压缩和反聚束性质。结果表明,仅当N=2和4时,这些态才具有压缩性质,但反聚束效应对每一个N值都存在。In this paper, orthonormal eigenvectors of high order power of photon annihila.tion operator are constructed with N basic vectors of coherent states |aei(2π)/N n〉(n = 0,1,2, …,N-1), and squeezing and antibunching in these states are studied. The results show that squeezing appears only when N = 2 and 4 but antibunching exists for every N.
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