A PDE Perspective on Many-body Problems in Quantum Optics (CRC 1456 Core Colloquium )

Quantum optics is the quantum theory of the interaction of light and matter. In this talk, I will describe
a real-space formulation of quantum electrodynamics. The goal is to understand the propagation of
nonclassical states of light in systems consisting of many atoms. In this setting, there is a close
relation to kinetic equations for nonlocal PDEs with random coefficients. The talk is meant to be
accessible to both mathematicians and physicists.