Student Research

If you are looking to do some research in math, here are some topics I am happy to work on. 

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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.


Make Your Own