3 papers
math-ph2025
Generating function for quantum depletion of Bose-Einstein condensates
Simone Rademacher
We consider a Bose gas on the unit torus at zero temperature in the Gross-Pitaevskii regime, known to perform Bose-Einstein condensation: a macroscopic fraction of the bosons occup…
math-ph2025
Limit theorems for empirical measures of interacting quantum systems in Wasserstein space
Lorenzo Portinale, Simone Rademacher, Dániel Virosztek
We prove fundamental properties of empirical measures induced by measurements performed on quantum -body systems. More precisely, we consider measurements performed on the groun…
math-ph2025
Exponential Control of Excitations for Trapped BEC in the Gross-Pitaevskii Regime
Nils Behrmann, Christian Brennecke, Simone Rademacher
We consider trapped Bose gases in three dimensions in the Gross-Pitaevskii regime whose low energy states are well known to exhibit Bose-Einstein condensation. That is, the majorit…