54 citations · 168 across the 15 of their papers we have counts for
15 papers
Exponential bounds of the condensation for dilute Bose gases
Phan Thành Nam, Simone Rademacher
We consider N bosons on the unit torus in the Gross-Pitaevski regime where the interaction potential scales as . We prove that the thermal equilibrium…
Large deviations for the ground state of weakly interacting Bose gases
Simone Rademacher
We consider the ground state of a Bose gas of N particles on the three-dimensional unit torus in the mean-field regime that is known to exhibit Bose-Einstein condensation. Bounded…
Traveling waves and effective mass for the regularized Landau-Pekar equations
Simone Rademacher
We consider the regularized Landau-Pekar equations with positive speed of sound and prove the existence of subsonic traveling waves. We provide a definition of the effective mass f…
A note on dependent random variables in quantum dynamics
Simone Rademacher
We consider the many-body time evolution of weakly interacting bosons in the mean field regime for initial coherent states. We show that bounded k-particle operators, corresponding…
Large deviation estimates for weakly interacting bosons
Simone Rademacher, Robert Seiringer
We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the conden…
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…
A large deviation principle in many-body quantum dynamics
Kay Kirkpatrick, Simone Rademacher, Benjamin Schlein
We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large dev…
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…
Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron
Nikolai Leopold, David Mitrouskas, Simone Rademacher +2
We consider the Fröhlich Hamiltonian with large coupling constant . For initial data of Pekar product form with coherent phonon field and with the electron minimizing the corres…
Central limit theorem for Bose gases interacting through singular potentials
Simone Rademacher
We consider a system of bosons in the limit , interacting through singular potentials. For initial data exhibiting Bose-Einstein condensation, the many-bo…
The Landau-Pekar equations: Adiabatic theorem and accuracy
Nikolai Leopold, Simone Rademacher, Benjamin Schlein +1
We prove an adiabatic theorem for the Landau-Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution genera…
Central Limit Theorem for Bose-Einstein Condensates
Simone Rademacher, Benjamin Schlein
We consider a Bose gas trapped in the unit torus in the Gross-Pitaevskii regime. In the ground state, we prove that fluctuations of bounded one-particle observables satisfy a centr…
From Hartree dynamics to the relativistic Vlasov equation
Elia Dietler, Simone Rademacher, Benjamin Schlein
We derive the relativistic Vlasov equation from quantum Hartree dynamics for fermions with relativistic dispersion in the mean-field scaling, which is naturally linked with an effe…
Mean field evolution of fermions with Coulomb interaction
Marcello Porta, Simone Rademacher, Chiara Saffirio +1
We study the many body Schrödinger evolution of weakly coupled fermions interacting through a Coulomb potential. We are interested in a joint mean field and semiclassical scaling,…
Accumulation Rate of Bound States of Dipoles in Graphene
Simone Rademacher, Heinz Siedentop
We prove that the bound state energies of the two-dimensional massive Dirac operator with dipole type potentials accumulate with exponentials rate at the band edge. In fact we prov…