Quantum Statistic Properties of Eigenstates of the Annihilation Operator a k q s of Two Parameter Deformed Harmonic Oscillator.

Huan-Qiang Zhou, He Jingsong, Zhang Xin-ming

Zhong Wang

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.

Zhong Wang

The antibunching effect for the eigenstates of the k-th powers of the annihilation operator of two-parameter deformed harmonic oscillator (akqs,k≥3 ) is studied. Using the numerical method , we have studied the influences of the two parameter (qs ) deformation on the effect in the case of k = 3. It is shOwn that the eigenstates of akqs have anibunching effect when x = |α| 2,which reflects the intensity of the two-parameter deformed light field, is in values of certain intervals. The effect is evidently influeneed by the values of paratnters q and s.

Dao Vong Duc

Salvador V. Godoy

Ji‐Suo Wang, Chang-Yong Sun

In this paper, the mathematical structure and properties of orthonormalized eigenstates of the higher powers of the annihilation operator of two-parameter deformed harmonic oscillator are studied. Based on the work, the antibunching properties of them are investigated. It is found that they may form a complete Hilbert space, and all of them show antibunching effect.