4 papers
Measuring a quantum system without problems
Marco Falconi, Clotilde Fermanian Kammerer, Raphaël Gautier
The process of measuring quantum observables has been plagued, since the inception of quantum mechanics, by the so-called measurement problem: it is impossible to read a definite o…
Semiclassical limit of entropies and free energies
Zied Ammari, Michele Correggi, Marco Falconi +1
Entropy and free energy are central concepts in both statistical physics and information theory, with quantum and classical facets. In mathematics these concepts appear quite often…
Wigner measure approach to the derivation of the Landau-Pekar equations in the mean-field limit
Raphaël Gautier
We provide a rigorous derivation of the Landau-Pekar equations from the Fröhlich Hamiltonian in the mean-field limit using Wigner measure techniques. On the classical side, we ext…
Semiclassical limit of polaron dynamics with cutoff
Raphaël Gautier
We define and study the global well-posedness of a classical polaron dynamics and its derivation from the quantum dynamics of the Fröhlich Hamiltonian from the viewpoint of Wigner…