Linear Interactions Between Light and Matter

E. Garmire

Topics in Photonics.- Properties and Description of Light.- Linear Interactions between Light and Matter.- Nonlinear Interactions of Light and Matter without Absorption.- Nonlinear Interactions of Light and Matter with Absorption.- Lasers.- Nonlinear Optical Spectroscopy.- References.

Giovanni de Felice, Razin Abdulrauf Shaikh, Boldizsár Poór +3 more

In this paper, we develop a graphical calculus to rewrite photonic circuits involving light-matter interactions and non-linear optical effects. We introduce the infinite ZW calculus, a graphical language for linear operators on the bosonic Fock space which captures both linear and non-linear photonic circuits. This calculus is obtained by combining the QPath calculus, a diagrammatic language for linear optics, and the recently developed qudit ZXW calculus, a complete axiomatisation of linear maps between qudits. It comes with a 'lifting' theorem allowing to prove equalities between infinite operators by rewriting in the ZXW calculus. We give a method for representing bosonic and fermionic Hamiltonians in the infinite ZW calculus. This allows us to derive their exponentials by diagrammatic reasoning. Examples include phase shifts and beam splitters, as well as non-linear Kerr media and Jaynes-Cummings light-matter interaction.

David W. Ball

Tilman Höner zu Siederdissen, Nils C. Nielsen, Jürgen Kuhl +4 more

We present phase-resolved pulse propagation measurements of the transition between several light-matter interaction regimes ranging from linear to highly nonlinear effects in a multiple-quantum-well Bragg structure.