10 citations · 19 across the 4 of their papers we have counts for
5 papers
A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature
Dario Feliciangeli, Augusto Gerolin, Lorenzo Portinale
This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting t…
The effective mass problem for the Landau-Pekar equations
Dario Feliciangeli, Simone Rademacher, Robert Seiringer
We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy…
The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics
Dario Feliciangeli, Robert Seiringer
We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling l…
Persistence of the spectral gap for the Landau-Pekar equations
Dario Feliciangeli, Simone Rademacher, Robert Seiringer
The Landau-Pekar equations describe the dynamics of a strongly coupled polaron. Here we provide a class of initial data for which the associated effective Hamiltonian has a uniform…
Uniqueness and Non-Degeneracy of Minimizers of the Pekar Functional on a Ball
Dario Feliciangeli, Robert Seiringer
We consider the Pekar functional on a ball in R^3. We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from…