Seminarium Fizyki Materii Skondensowanej

This talk will be a review some of our results on dynamical correlation functions of quantum integrable models. Focus will be placed on the experimentally relevant Lieb-Liniger model: a 1d model of interacting bosons. I will show how the correlations functions can be evaluated and how these predictions were tested experimentally with the Bragg scattering of cold atoms. On the more theoretical side I will discuss relations with a glorified conformal theory picture of the Lieb-Liniger model, namely the Luttinger liquid and present results on the dynamic structure factor at small momenta. We will finish with an inverse quantum cooking method.