Evolution on The Poincare Disk
Certain quantum evolution can be plotted on a Poincare disk. The project is to develop this mapping and produce canonical plots. You will learn about Hyperbolic geometry and also a bit about quantum mechanics.
Playing with Quantum Trajectories
Quantum trajectories refer to an evolution of a quantum system that is conitnuously observed. This technique is now routinly applied in quantum optics and circuit QED Mathematically, the study of quantum trajectories is a study of long random products of matrices. It has an abundance of examples that need exploring.
