In this fourth tutorial of the series we flex our quantum muscles ? and go deep into our fully quantised model of a particle interacting with a quantum field and find that, despite the increased complexity, knowledge from the semi-quantum model of tutorial 2 helps elucidate some surprisingly physics. Instead of the emission of a single large energy boson, we find that it’s possible to emit multiple smaller energy bosons - so called “down conversion”.
We’ll learn about some visual tools that allow us to “see” this physics emerge:
looking at the energy level diagram
seeing the Hamiltonian matrix in full technicolour ?
and we’ll geek out ? by developing our own Schrödinger solver to speed up some of our computations.