Oberseminar Mathematische Physik
Jointly with Johannes Alt, Margherita Disertori, Luca Fresta, Illia Karabash and Eveliina Peltola, I am organizing a mathematical physics seminar which takes place a few times per semester. The seminar usually takes place on Mondays from 2.15 - 3.15 pm in seminar room 0.006 (Endenicher Allee 60).
Talks Spring 2025:
Feb. 19, 2025: Benjamin Hinrichs (University of Paderborn)
Lieb–Robinson Bounds for Continuum Fermions from Maximal Velocity BoundsLieb-Robinson bounds (LRB) are bounds on the propagation speed of quantum information and have turned out to be a powerful tool in the analysis of many-body quantum systems. Especially, they have been derived for various discrete cases, but their generalization to continuous systems is somewhat difficult since finite speed of propagation can not a priori be expected in this case. In this talk, we first review the various applications of LRBs and then discuss a general strategy on their derivation from maximal velocity bounds for the energy-restricted one-body system. We then demonstrate how this leads to a LRB for interacting fermions in the continuum and discuss possible extensions of our method. This talks is based on joint work with Marius Lemm and Oliver Siebert.