在阻尼作用下叠加相干态压缩特性的时间演化

Evolutions of Squeezing of Superposition Coherent States under the Effect of Damping

本文讨论了由一对相干态｜α＞和｜－α＞而产生的叠加相干态（薛定谔猫态）在具有阻尼的情况下压缩特性随时间的演化，特别讨论了场的高阶压缩性质受阻尼的影响．在场模形成的初始阶段，高阶压缩性质是不稳定的，高阶压缩参量将随时间出现振荡，场态将出现几次压缩和非压缩的交替变化．随时间的推移，场的压缩状态终将趋于稳定，压缩参量的绝对值减小并趋于零．阻尼的增加将加快这一演化过程，并且阻尼将削弱压缩．

In the paper, we discussed tile evolution of the squeezing, particularly, the effect of damping on higher-order squeezing in the superposition coherent states (Schrodinger cat states), which are generated by superposing a pair of coherent states |α> and |-α) In the initial stage of the field forming, the higher-order squeezing is unstable, the parameters of higher-order squeezing will be oscillatory along with the time elapsing. The states of the field will be Kth-order squeezing or non-squeezing alternatively and tends to stability at last, the absolute value of squeezing parameter reduces and approaches zero. Increasing damping will speed up the evolution process, damping weakens squeezing.