奇偶相干态的相位与粒子数起伏

The Fluctuations of Phase and Number of Even and Odd Coherent States

本文精确计算了奇偶相干态的相位起伏与粒子数—相位不确定关系。分析了它们在两种极限(|a|~2<<1和|a|~2>>1)下的情况,结果显示出奇偶相干态的相位始终保持着量子特征,最小测不准关系与态的非经典性强弱无关。

We calculated the exact fluctuation of phase and number-phase uncertainty relationsof even and odd coherent states in this paper. Two limiting cases (|α|~2?1 and |α|~2?1)are discussed. The results show that the phases of even and odd coherent states retaintheiv quantum character all the time and the minimum uncertainty relation has nothing todo with the strongness and weakness of the nonclassicality of the two states.