Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States
Huang Chun · 2003
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 .