Quantum theory of coherence and nonlinear optics

Quantum theory of light and noise polarization in nonlinear optics.

We present a consistent quantum theory of the electromagnetic field in nonlinearly responding causal media, with special emphasis on Chi(2) media. Starting from QED in linearly responding causal media, we develop a method to construct the cubic Hamiltonian expressed in terms of the complex nonlinear susceptibility in a quantum mechanically consistent way. In particular, we show that the method ...

Studies in Singular Optics and Coherence Theory

We analyze the total power that is radiated by two correlated point sources. The influence of the degree of coherence between the two sources and of the distance between them can clearly be distinguished. Significant modulations of the total radiated power are predicted. Both primary and secondary sources are investigated.

Physics 673 : Nonlinear and Quantum Optics

The beginning of quantum nonlinear optics [Invited]

When asked to talk at the symposium celebrating the fiftieth birthday of nonlinear optics in Kauai last July, I needed to decide on an interesting approach beyond that of rehashing the, by now familiar, scientific facts. The work that I will describe has to do with the quantum mechanical formalism for nonlinear optics. Although the implications of this theory are fundamental and continue to unf...

Nonlinear quantum optics mediated by Rydberg interactions

By mapping the strong interaction between Rydberg excitations in ultra-cold atomic ensembles onto single photons via electromagnetically induced transparency, it is now possible to realize a medium which exhibits a strong optical nonlinearity at the level of individual photons. We review the theoretical concepts and the experimental state-of-the-art of this exciting new field, and discuss first...