Abstract

Modern quantum gas microscopy enables the measurement of spatial correlation functions in complex quantum many-body systems, such as quantum antiferromagnets. To actually calculate such correlation functions is, however, incredibly complicated in general. 

In this talk, I will discuss a quantum antiferromagnet doped with holes. This systems supports the formation of magnetic polarons, forming as a consequence of the competition between the spatial delocalization of the holes and the buildup of magnetic frustrations in the antiferromagnet. 

I will show you how we can draw calculations of correlation functions between the hole and surrounding spin excitations, and that this actually makes it possible to sum up an infinite series of diagrams in a highly efficient manner.