3 papers
math-ph2020
The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime
Chiara Boccato
We consider a gas of interacting bosons trapped in a box of side length one in the Gross-Pitaevskii limit. We review the proof of the validity of Bogoliubov's prediction for the gr…
math-ph2018
Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime
Chiara Boccato, Christian Brennecke, Serena Cenatiempo +1
We consider systems of bosons trapped in a box, in the Gross-Pitaevskii regime. We show that low-energy states exhibit complete Bose-Einstein condensation with an optimal bound on…
math-ph2017
The excitation spectrum of Bose gases interacting through singular potentials
Chiara Boccato, Christian Brennecke, Serena Cenatiempo +1
We consider systems of bosons in a box with volume one, interacting through a repulsive two-body potential of the form . For all , and for sufficie…