Integrability applied to quantum few-body problems

Project level: PhD

The study of few-body problems has a long history, and has offered up significant mathematical challenges arising from apparently simple physical systems. Recent progress in the manipulation of ultracold quantum systems, with a high degree of precision, has reignited interest in quantum few-body problems. In the case of integrable quantum systems, there is a wealth of mathematical machinery which has been developed to extract their exact solutions. This project will apply such integrablilty techniques to gain new insights into quantum few-body systems. Examples include bosonic multi-well tunneling models, multi-species fermionic tunneling models, and open fermionic systems.