相位差与q变形广义相干叠加态的压缩特性

Phase Difference and the Squeezing Property of the Superpositions of the q-Deformed Generalized Coherent States

对于q变形的非简谐振子广义相干态的叠加态 β〉 +eiφ βeiδ〉 ,其量子涨落的可能高阶压缩阶数可以表示为k≠ 2πn/δ ,这里n是整数 .当δ =π时 ,压缩阶数不能是偶数即只能是奇数 ,这正是q变形非简谐振子广义奇偶相干态的结果 .

It is shown that the possible higher squeezing order of the superposition state β >+e i φ β e i δ > of the generalized coherent states of the q deformed non harmonic oscillator can be expressed as k ≠2π n/δ ,with n an integer and δ the phase difference between the two generalized coherent states. When δ =π,the order of squeezing can only be odd,which is just the result of the generalized even and odd coherent states of the q deformed non harmonic oscillator;when δ takes other values,the squeezing order can be even. These results show that the parameter phase difference δ plays the key role in determining the possible squeezing order.