Abstract:
Even in the simplest quantum nanoelectronic devices, such as quantum dots (Kondo effect, Coulomb blockade) or quantum point contacts (0.7 anomaly), electronic correlations play a central role. Yet, except in some specific situations, these correlations are beyond the reach of existing numerical techniques. In this talk, I will present our efforts to build algorithms that systematically and automatically calculate all Feynman diagrams up to very large order (10-22). As a first real life application, I will show how the technique can be used to solve the Kondo problem out-of-equilibrium.