Lecturer: Nikolaj Thomas Zinner
Affiliation: Aarhus University, Denmark
Abstract: I will discuss recent methods designed to address one-dimensional systems with strong short-range interactions in external confinement. In this case one cannot directly applied the standard Bethe ansatz or bosonization techniques without performing also some sort of local density approximation. The lectures will give an introduction to these systems starting from the few-body case and building it from there. I will discuss both analytical and numerical methods for addressing these problems. The examples will be of both a static and a dynamic nature for both fermionic, bosonic, and mixed systems. I will also try to see how one can use knowledge of the strongly interacting regime to access the properties of such systems for any interaction strength.