Seminario / Schlein
SEMINARIO MATEMATICO E FISICO
Lunedì 20 settembre alle 17:00
si svolgerà online (seguirà link) il seguente seminario:
Benjamin Schlein, University of Zurich
“Landau–Pekar equations and quantum fluctuations for the dynamics of a polaron”
Abstract: In this talk, we are going to discuss the dynamics of a polaron, at large coupling. For initial data of Pekar product form, with a coherent phonon field and with the electron minimising the corresponding field energy, we provide a norm approximation of the evolution, valid up to times quadratic in the coupling constant. The approximation is given in terms of a Pekar product state, evolved through the Landau-Pekar equations and corrected by a Bogoliubov dynamics describing quantum fluctuations. I will explain the similarities with the study of the evolution of interacting bosons. This talk is based on joint work with Nikolai Leopold, David Mitrouskas, Simone Rademacher and Robert Seiringer.