5 papers
Measuring a Quantum System Thanks to the Correspondence Principle
Marco Falconi, Clotilde Fermanian Kammerer, Raphaël Gautier
The measurement problem is one of the longest-standing open problems in quantum mechanics: noncommutative observables are incompatible with the Born and collapse rules, prescribing…
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 exte…
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…
A Fully Bayesian Gradient-Free Supervised Dimension Reduction Method using Gaussian Processes
Raphael Gautier, Piyush Pandita, Sayan Ghosh +1
Modern day engineering problems are ubiquitously characterized by sophisticated computer codes that map parameters or inputs to an underlying physical process. In other situations,…