We consider Bose gases consisting of $N$ particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of the order $N^{−1}$ (Gross-Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as $N to infty$. Our results confirm Bogoliubov's predictions.
Bogoliubov Theory in the Gross-Pitaevskii Limit
Cenatiempo SMembro del Collaboration Group
;
2019-01-01
Abstract
We consider Bose gases consisting of $N$ particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of the order $N^{−1}$ (Gross-Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as $N to infty$. Our results confirm Bogoliubov's predictions.File in questo prodotto:
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