Dynamical invariants and Robertson-Schrodinger correlated states of electromagnetic field in nonstationary linear media

Abstract

Dynamical invariants and statistical properties of the quantized electromagnetic field in nonstationary linear media (dielectric and/or conductive) are considered in the framework of Choi-Yeon quantization scheme. It is shown that in the eigenstates of linear dynamical invariant the Robertson-Schrodinger uncertainty relation is minimized, both for the photon annihilation operator quadratures and for the electric and magnetic field components. The time evolution of initial Glauber coherent states and Fock (photon number) states is considered. On an initial coherent state the medium conductivity and the time-dependent electric permeability both are shown to act as squeezing and correlating factors.