q变形非简谐振子湮没算符高次幂本征态的反聚束特性

Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator

研究了q变形非简谐振子湮没算符高次幂本征态的反聚束特性 ,并用数值计算方法定量研究了变形参量q对这一特性的影响 .结果表明 ,q变形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 的若干取值区间内可多次交替地呈现反聚束效应 ,并且变形参量q对这一效应有很大的影响 .

The antibunching properties for the eigenstates of the Kth powers (K≥3) of the annihilation operator of the q-deformed non-harmonic oscillator are investigated. The numerical method is used to study the properties influenced by the parameter q. The results show that the eigenstates exhibit antibunching effects in a number of intervals of x=β2, which reflects the intensity of the non-harmonic oscillator in q-deformation generalized coherent state. The effects are evidently influenced by the parameter q. When q is taken values departure from 1 greatly, these intervals become larger, and shift toward the positive x direction.