QUANTUM PROPERTIES OF LIGHT IN LINEAR MEDIA WITH TIME-DEPENDENT PARAMETERS BY LEWIS–RIESENFELD INVARIANT OPERATOR METHOD

Abstract

We investigated exact quantum states of the light confined in cubes filled with conductive media whose parameters are explicitly dependent on time and the light propagating under periodic boundary condition by making use of the LR (Lewis–Riesenfeld) invariant operator method. The choice of Coulomb gauge in the charge free space allowed us to evaluate quantized electric and magnetic fields by expanding only the vector potential, since the scalar potential is zero. We also described the fields with a spectrum of continuous mode, which can be obtained by setting the side L to infinity.