非简谐振子湮没算符高次幂本征态的反聚束效应

研究了非简谐振子湮没算符高次幂本征态的反聚束效应,并用数值计算方法研究了非谐振项的大小对它们的影响.结果表明,非简谐振子湮没算符高次幂本征态的反聚束效应与谐振子的情况明显地不同,非简谐振子湮没算符高次幂本征态在非谐振子强度X=|β|2的若干取值区间内均可多次交替地呈现反聚束效应。随着非谐振项的变大,呈现反聚束效应的区间也变大。

Antibunching Effects for the Eigenstates of the Higher Powers of Annihilation Operator of a Non-harmonic Oscillator

The antibunching effects for the eigenstates of the Nth powers (N > 3) of the annihilation operator of the non-harmonic oscillator are studied. Using the numerical method, we have investigated the influences of the non-harmonic term on the effects under the circumstance of N=3. The results show that the antibunching effects for the eigenstates of the higher powers of annihilation operator of the non-harmonic oscillator are evidently different from those of the eigenstates of the harmonic oscillator. The effects can be shown in a number of intervals alternately when x = |β|2, which reflects the intensity of non-harmonic oscillator light field, is changed, and the intervals that the antibunching effects are exhibited are changed larger when the non-harmonic term is greater.