In this paper, the higher power squeezing effects of generalized q-deformation superposition coherent states of a non-harmonic oscillator are discussed. It is shown that there are squeezing properties in these quantum states.
The superposition states, which are composed of the generalized q-coherent states of the non-harmonic oscillator, are presented. The quantum statistical properties of these states are studied. Then the influence of the superposition phase δ and the deformation parameter q on these nonclassical properties are discussed. It is shown that the superposition states exhibit higher-order (order of odd number) squeezing effect and antibunching effect respectively. When the superposition phase δ is taken values approach to 0 or π/2, these results approach the properties of the even or odd generalized q-coherent states of the non-harmonic oscillator. Especially, the effects are influenced by the parameter q. When the values of q is taken departure from 1 greatly, the nonclassical properties are more evidently.
The generalized even and odd coherent states of a q-Deformation Non-harmonic Oscillator(E-O q-NHCSs) are constructed,their Higher-Order Squeezing and Antibunching Properties are studied in detail.It is increasing the Squeezing effect in different parameter ranges.With q-deformation increasing,the squeezing effect of E q-NHCSs are weakened and those of O q-NHCSs are enhanced.The E q-NHCSs appear high-order(N≥2) antibunching properties while the O q-NHCSs appear high-order bunching properties in some ranges of the parameter q and r 2 with the q-deformation increasing.Both antibunching effects of E q-NHCSs and bunching effects of O q-NHCSs are enhanced.
We proposed a class of the superposition state α|β+beiφ|βeiδ based on the q-deformed generalized coherent states.The higher power squeezing properties of these superposition states are studied.The results show that the power of the squeezing can be expressed as k≠2πn/δ,with n an integer and δ the phase difference between the two generalized coherent states.When δ=π,the power of squeezing can only be odd,when δ takes other values,the squeezing power can be even.These results show that the parameter phase difference δ plays an important role in determining the possible squeezing power,the role of a(b) and β can not be neglected.