Centre de Physique Théorique

Agenda

Wednesday 10 November 2021

11h00 – 12h00, online (demander le lien à A.Panati) ET Université de Toulon, salle Z1 016

Étude semiclassique de l’interaction d’Yukawa et ses champs asymptotiques

Zied Amarri, Université de Rennes

14h00 – 15h00, online (demander le lien à A.Panati) ET Université de Toulon, salle Z1 016

Quantum graphs with uncommon vertex couplings

Pavel Exner, Université de Prague

The main topic of this talk are quantum graphs with the vertex coupling violating the time-reversal invariance. We explain why such systems can be useful in physics and as a case study we analyze a simple example in which the asymmetry is maximal at a fixed energy. This leads to an interesting property, namely that high-energy scattering depends crucially on the vertex parity; we will demonstrate implications of this fact for spectral and transport properties in several classes of graphs, both finite and infinite periodic ones. We will also discuss other time-asymmetric graphs and identify a class of such couplings which exhibits a nontrivial PT-symmetry despite being self-adjoint. The results come from a common work with Marzieh Baradaran, JirI Lipovsky , and Milos Tater.

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