Canonical quantum description of light propagation in dielectric media

John Jeffers, Stephen Mark Barnett, R. Loudon +2 more

Yin Xiao

The photic field in the plane divisional uniform absorbing and dispersive dielectrics is quantized by the canonical quantum theory and the classical Green's function of the system. The concrete forms of the leftwards\|traveling and rightwards\|traveling polariton and photon operators in the dielectrics and the cavity are determined by use of the identical idea of the contrast with the homogeneous media and the vacuum case, and the quantized expressions of light field in every region are given. Results show that the polariton and the photon operators can be expressed by the forms of the media noise along the propagation with phase weight, and they are closely related to the media distribution, parameters and the light frequency.

Izo I. Abram

Bauchrowitz, J., Westphal, T., Schnabel, R.

The standard process for the production of strongly squeezed states of light is optical parametric amplification (OPA) below threshold in dielectric media such as LiNbO3 or periodically poled KTP. Here, we present a graphical description of squeezed light generation via OPA. It visualizes the interaction between the nonlinear dielectric polarization of the medium and the electromagnetic quantum field. We explicitly focus on the transfer from the field's ground state to a squeezed vacuum state and from a coherent state to a bright squeezed state by the medium's secondorder nonlinearity, respectively. Our pictures visualize the phase dependent amplification and deamplification of quantum uncertainties and give the phase relations between all propagating electro-magnetic fields as well as the internally induced dielectric polarizations. The graphical description can also be used to describe the generation of nonclassical states of light via higherorder effects of the non-linear dielectric polarization such as four-wave mixing and the optical Kerr effect.

Jöran Bauchrowitz, Tobias Westphal, Roman Schnabel

The standard process for the production of strongly squeezed states of light is degenerate optical parametric amplification (OPA) below threshold in nonlinear dielectric media such as LiNbO3 or periodically poled potassium titanyl phosphate (KTP). Here, we present a graphical description of squeezed-light generation via OPA, visualizing the interaction between the nonlinear dielectric polarization of the medium and the electromagnetic quantum field. We explicitly focus on the transfer from the field's ground state to a squeezed vacuum state and from a coherent state to a bright squeezed state by the medium's second-order nonlinearity, respectively. Our pictures illustrate the phase-dependent amplification and deamplification of quantum uncertainties and give the phase relations between all propagating electromagnetic fields as well as the internally induced dielectric polarizations. The graphical description can also be used to describe the generation of nonclassical states of light via higher-order effects of the nonlinear dielectric polarization such as four-wave mixing and the optical Kerr effect.

Roy J. Glauber, Maciej Lewenstein