The seminars take place on Wednesday afternoon, usually at 14:30 Italian time.
November 6th, 2024
Volker Bach (Technische Universität Braunschweig)
An overview on nonrelativistic QED
The talk will survey a number of results concerning the mathematical foundation of nonrelativistic quantum electrodynamics.
December 18th, 2024
David Pérez García (Universidad Complutense Madrid)
Spectral gaps in many body quantum systems
How does the spectral gap of a quantum many body system scale with the system size? This turns out to be a very relevant question both in condensed matter physics and in quantum computing. However, there are very few available techniques to give bounds of that scaling. In the first part of this talk, we will review recent results which explain why: it is undecidable to know if the spectral gap will vanish or not with the system size. In the second part, we will review complementary results which show that, despite this general impossibility result, one can still prove spectral gap estimates in a rather wide family of systems. As a consequence, one obtains new bounds on the lifetime of quantum memories.
January 15th, 2025
Robert Seiringer (Institute of Science and Technology Austria)
Spectral analysis of polaron models in the strong coupling limit
The Fröhlich polaron and related models of quantum field theory have played a prominent role in mathematical physics over several decades. In this talk, we shall explain recent bounds on the quantum corrections to the (classical) Pekar approximation of the ground state energy of the Fröhlich polaron model in the strong coupling limit, and their consequence on the existence of excited states and the polaron's effective mass.
