Bogoliubov theory in the Gross–Pitaevskii limit

@article{Boccato2018BogoliubovTI,
  title={Bogoliubov theory in the Gross–Pitaevskii limit},
  author={Chiara Boccato and Christian Brennecke and Serena Cenatiempo and Benjamin Schlein},
  journal={Acta Mathematica},
  year={2018}
}
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. 

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