The mathematics of cold quantum matter

At extremely cold temperatures atoms behave like matter waves to form new states of quantum matter which are of great technological potential. This research project aims to explore the nature of cold quantum matter by developing and applying the mathematical theories of quantum integrable systems and quantum fractional statistics. This approach will provide the necessary bridge between fundamental mathematical models of interacting particles and experiments on cold quantum matter, including the effects of spin and statistics on fermionic pairing and superfluidity. The methodology developed will also be applicable to the investigation of new phenomena and ideas in traditional condensed matter physics settings.