On the squeezing of coherent light coupled to a driven damped harmonic oscillator with time dependent mass and frequency

Abstract

A possible model corresponding to the driven damped oscillator of time dependent mass and frequency is discussed. The corresponding solution of the quantum damped driven harmonic oscillator of time dependent mass and frequency is exploited to obtain the squeezing of the light initially prepared in coherent state. We observe that the driven term has no role to play on the quantization. We give a special case corresponding to the system represented by the Kanai Hamiltonian with driven term. By using a complete analytical approach, the squeezing phenomena for under-, over- and critical-damping situations are explicitly discussed for a system representing the Kanai Hamiltonian with driven term.