Coherence properties of optical fields in a nonlinear dielectric

Ehsan Amooghorban, Ali Mahdifar

In order to investigate the effect of a medium with dissipation and dispersion and also the curvature of the physical space on the properties of the incident quantum states, we use the quantization of electromagnetic field based on phenomenological approach to obtain input-output relations between radiations on both sides of dielectric slab. By using these relations the fidelity, the Wigner function, and also the quantum correlation of the outgoing state through dielectric slab are obtained for a situation in which the rightward incident state is a nonlinear coherent state on a sphere and the leftward incident state is a vacuum state. Here, the incident states are considered monochromatic and the modeling of the medium is given by the Lorentz' model. Accordingly, we study nonclassical properties of the output states such as the quantum entanglement. It will be observed that the nonclassical properties of the outgoing states depend strongly on the optical property of the medium and also on the curvature of the physical state.

E. Wolf

P. D. Drummond

The classical theory of nonlinear optics is well established, owing to the seminal work of Bloembergen and others. In this theory, nonlinear coefficients are used to express dielectric properties in a unified way. A quantum-mechanical theory of this type is obviously desirable, allowing the calculation of quantum effects, without requiring a detailed electronic and molecular model of the dielectric. In current research that encompasses such effects as squeezing and photon antibunching, a coherent quantum theory is essential. This should include nonlinearities, inhomogeneity, and dispersion to be relevant to physical dielectric media.

B. Picinbono

B. Younessi, Mostafa Sahrai, R. Aghbulaghi +1 more

Abstract We investigate the linear and nonlinear dispersion and absorption properties of a weak probe field in a dielectric slab doped with Λ -type atoms. The effect of a relative phase between applied fields on linear and nonlinear dispersion, absorption and Kerr nonlinearity is discussed. It is demonstrated that the system is phase sensitive when spontaneously generated coherence and an incoherent pump exist simultaneously. The effect of the coupling field intensity on the Kerr nonlinearity is also presented.

B. A. Sotskii, Valentin A. Dmitriev