The completeness and higher-order squeezing properties of generalized odd and even coherent states of a Q-deformed non-harmonic oscillator are investigated. The results show that they may form a complete Hilbert space,and the odd-order squeezing effects exist in all of the states.
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.
The higher order squeezing and antibunching effect for the odd and even generalized q coherent states of the non harmonic oscillator are investigated. The numerical method is used to study these effects for the two expressions of q number . It is shown that the odd and even generalized q coherent states of the non harmonic oscillator present higher order (order of odd number) squeezing effect and antibunching effect respectively,and these optical statistics properties are very different from those of the states of the harmonic oscillator.