Chinese Physics C
Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States
Jun Jiang
Abstract
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 .