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Bogoliubov theory in the Gross–Pitaevskii limit

Chiara Boccato Institute of Science and Technology Christian Brennecke Harvard University Serena Cenatiempo Gran Sasso Science Institute Benjamin Schlein University of Zürich

Mathematical Physics mathscidoc:1911.43031

Acta Mathematica, 222, (2), 219 – 335, 2019
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→∞. Our results confirm Bogoliubov’s predictions.
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@inproceedings{chiara2019bogoliubov,
  title={Bogoliubov theory in the Gross–Pitaevskii limit},
  author={Chiara Boccato, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191128120324817299542},
  booktitle={Acta Mathematica},
  volume={222},
  number={2},
  pages={219 – 335},
  year={2019},
}
Chiara Boccato, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. Bogoliubov theory in the Gross–Pitaevskii limit. 2019. Vol. 222. In Acta Mathematica. pp.219 – 335. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191128120324817299542.
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