根据Ｈｏｎｇ等人的高阶压缩定义，研究了ａｋ本征态（ｋ≥２）的高阶压缩特性。结果表明，当ｋ为偶数时，不存在低于ｋ阶的压缩，但可以存在ｋ阶以上的压缩（包括ｋ阶压缩），特别是当ｋ为４的整数倍时，两个正交分量总是同时出现ｋ阶以上的压缩；当ｋ为奇数时，至少可以肯定不存在６ｋ阶以下的压缩。 According to Hong et al.’s definition of higher-order squeezing, the high-order squeezing characteristics of ak eigenstates (k≥2) are studied. The results show that when k is even, there is no compression below kth order, but there may be more than kth order of compression (including kth order compression), especially when k is an integer multiple of 4, the sum of the two orthogonal components Is at the same time more than k-order compression; when k is an odd number, at least it is certain that there is no compression below 6k order.