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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 order N−1 (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as N tends to infinity. Our results confirm Bogoliubov’s predictions.
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Boccato et al. (2019) studied this question.