Joint BCAM-UPV/EHU Analysis and PDE seminar: Ground State approximation in Quasi-Classical regime for Quantum Fields models

Abstract
When quantum matter interacts with an intense radiation field the microscopic analysis given by Quantum Field Theories (QFT) can be simplified by deriving an effective model by means of semi-classical techniques. In this regime, that we called Quasi-Classical, the field is so intense that it can be considered like a macroscopic object and play the role of a classical environment influencing the subsystem of particles. In this talk we show how the minimization problem for the energy of the microscopic QFT Hamiltonian is equivalent to the minimization of a non-linear Pekar-type functional. Furthermore, we prove that, in the semi-classical limit for the field, the ground state energy and ground state of the QFT models converge to the relative ones of suitable effective Schrödinger operators.

From a joint work with M. Correggi and M. Falconi.

Link to the session: https://zoom.us/j/99595888554?pwd=Wnh6QnUrV3pRYkx2NXhkZHN2VnlrQT09

More info at https://sites.google.com/view/apdebilbao/home