Time Evolution And Squeezing Of A Parametric Oscillator With Cavity Losses

Using the formulized approach to the SU(1,1) h(4) time-dependent system, which is derived from the combination of the formulation of the time-dependent Bogoliubov transformation and the evolution equation of the system, we obtain the time evolution operator , state function and Heisenberg uncertainty relation of the parametric oscillator with cavity losses under the weak coupling approximation. We also discuss the squeezing property of the system.