13 citations · 17 across the 4 of their papers we have counts for
6 papers
Ground state energy of a Bose gas in the Gross-Pitaevskii regime
Giulia Basti, Serena Cenatiempo, Alessandro Olgiati +2
We review some rigorous estimates for the ground state energy of dilute Bose gases. We start with Dyson's upper bound, which provides the correct leading order asymptotics for hard…
A new second order upper bound for the ground state energy of dilute Bose gases
Giulia Basti, Serena Cenatiempo, Benjamin Schlein
We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second order term, as predicted by th…
Bogoliubov theory for dilute bose gases: the Gross-Pitaevskii Regime
Serena Cenatiempo
In 1947 Bogoliubov suggested a heuristic theory to compute the excitation spectrum of weakly interacting Bose gases. Such a theory predicts a linear excitation spectrum and provide…
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…
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…
Low dimensional interacting bosons
Serena Cenatiempo
The theory of ultracold, dilute Bose gases is the subject of intensive studies, driven by new experimental applications, which also motivate the study of Bose-Einstein condensation…