AG Mathematische Physik, Daniel Burgarth (FAU): Bounds for the Jaynes-Cummings Hamiltonian

Daniel Burgarth (FAU)

Bounds for the Jaynes-Cummings Hamiltonian

Abstract:

The Jaynes-Cummings Hamiltonian is one of the most commonly used model for the
interaction of light and matter. It arrises through a more fundamental model by
an approximation known as the „rotating wave approximation“ (RWA). Although
commonly used in physics, the approximation error is hard to control due to the
unboundedness of the operators involved. Even in finite dimensional systems such
bounds are often only perturbative. I will demonstrate a simple yet very
powerful way to find bounds for the Jaynes-Cummings Hamiltonian and related models.
PS: This will be a blackboard talk – feel free to ask me anything and I’ll be
happy to go off on tangents instead. The real purpose of this talk is to find
common ground for potential collaborations between mathematics and physics at
Erlangen