4 papers
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…
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…
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…