Quantum Magnetopolaritons

This research project sought to determine the e ects of an added degree of mechanical freedom to the tunnel splitting of a single molecule magnet. We consider both mechanical rotation and vibration (ie tortional oscillations) with the later consisting of an analytical and numerical portion which appear thus far to be in good agreement. The rst part of this paper will discuss some background information regarding single molecule magnets. Following this will be a description of several theoretical papers proposing e ects of coupling between an added degree of mechanical freedom and the macrospin of a single molecule magnet. These served as motivation to consider the e ects of this coupling on the tunnel splitting and magnetopolariton formation in these molecules. This will be followed by our research, ndings and possible implications of the data found.