Speaker
Description
We are interested in the numerical study of laser-matter interaction for quantum microstructures inserted inside a dispersive material. The objective is to describe the collective behavior that can result in such quantum materials. For that, we want to have access to the time evolution of the matrix density of the quantum objects as well as that of the classical electromagnetic field. It leads to a coupling of Maxwell equations with Bloch equations and Debye/Lorentz models. We will see there are many theoretically equivalent ways to write the system depending on the variables involved but some formulations are more appropriate for efficient computations. We will consider a Finite Difference - Time Domain (FD-TD) discretization with appropriate staggered grids in space and time. Exploring different strategies, we will identify those which preserve physical properties of interest at the discrete level while decoupling the equations.
This is a joint work with Brigitte Bidegaray-Fesquet.
