Exact quantum-statistical dynamics of an oscillator with time-dependent frequency and generation of nonclassical states

Abstract

Exact results on the time evolution of the density matrix and the Wigner function for an oscillator with time-dependent frequency are given. Explicit time dependence is given for the case of linear sweep of the restoring force. Such a sweep is shown to generate states of the oscillator with remarkable nonclassical properties such as squeezing and sub-Poissonian character.