The excited odd q-coherent state and the excited even q-coherent state are constructed. The amplitude-squared squeezing of excited odd q-coherent state are studied with the aid of numerical calculation. The condition of squeezing is found.
The squeezing property of states generated by the excitation on the SU q (1,1) even and odd q coherent states ( a +m qα e q and a +m qα o q ) is numerically studied. It is shown that for small q , the state a +m qα e q and state a +m qα o q can exhibit strong q squeezing, and as r 2 increases the q squeezing function Δ e 1( Δ o 1) exhibits a wonderful oscillating phenomenon of increasing amplitude and increasing period. As m increases and q decreases, the amplitude of Δ e 1( Δ o 1) increases greatly. As q decreases, the period of Δ e 1( Δ o 1) increases but is independent of m .
The squeezing property of the excited odd qs coherent state a +m qs α o qs and excited even qs coherent state a +m qs α e qs is numerically studied. It is shown that: (1) When the q(q≤1 ) or s is far from 1, the state a +m qs α o qs and state a +m qs α e qs exhibit strong qs squeezing, and as r 2 increases the qs squeezing function Δ e 1( Δ o 1) exhibits the oscillating phenomenon of increasing amplitude and increasing period. As m increases and s decreases, the amplitude of Δ e 1( Δ o 1) increases greatly. As s decreases, the period of Δ e 1( Δ o 1) increases but is independent of m. The m can be regard as the third parameter for controling the qs squeezing. (2) In general, the qs squeezing function Δ e 1( Δ o 1) is more sensitive to s than to q . That is, it is more resultful to control the qs squeezing by adjusting the parameter s than by adjusting the parameter q .
A new kind of even and odd nonlinear coherent states are defined. Using the numerical method, we have studied quantum statistical properties of the new even and odd nonlinear coherent states. It is shown that quantum statistical properties of the new even and odd nonlinear coherent states are very different from those of the usual even and odd coherent states. It is found that, in some ranges of 1beta1, the squeezing only exists in the new even nonlinear coherent state, and the amplitude-squared squeezing and antibunching effect appear for both new even and odd nonlinear coherent states.
By using the numerical method, the properties of the amplitude Nthpower squeezing of the even and odd qscoherent states are studied. It is shown that these even and odd qscoherent states are very different from the usual even and odd states. It is found that the Nthpower (N=2m+1,m=0,1,2,…) squeezing appears for both the even and odd qscoherent states in some ranges of the parameters q,s and r. The smaller the q and s,the larger the difference between the even and odd qscoherent states and the usual even and odd coherent states.