奇偶超相干态及其N次方压缩

Odd and Even Supercoherent States and Their N-th Power Squeezing Effect

本文构造超对称谐振子湮没算符平方Ａ２的四个正交归一本征态—奇偶超相干态，并讨论它们的Ｎ次方压缩性质，指出只有偶赵相干态存在Ｎ为奇数的Ｎ次方压缩。

In this paper, we constructed the orthnonrmalization eigenstates of the square operator A2 of the supersymmetric harmonic oscillator annihilation operator.These states are calledodd and even spercoherent states. Their N th power squeezing properties are discussed. The results show that even supercoherent states exist only when N th (N is odd number)power squeezing while odd supercoherent state do not exist.