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Excitation spectrum of Bose Einstein condensates

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Excitation spectrum of Bose Einstein condensates
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We consider systems of N trapped bosons interacting through a repulsive potential with scattering length of the order 1/N (Gross-Pitaevskii regime). We determine the low-energy spectrum of the Hamilton operator in the limit of large N. Our results confirm the predictions of Bogoliubov theory. This talk is based on joint works with C. Boccato, C. Brennecke and S. Cenatiempo.