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Bogoliubov theory in the Gross–Pitaevskii limit


Boccato, Chiara; Brennecke, Christian; Cenatiempo, Serena; Schlein, Benjamin (2019). Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica, 222(2):219-335.

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 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.

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 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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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Uncontrolled Keywords:General Mathematics
Language:English
Date:1 January 2019
Deposited On:16 Dec 2019 09:32
Last Modified:22 Apr 2020 21:38
Publisher:International Press
ISSN:0001-5962
OA Status:Green
Publisher DOI:https://doi.org/10.4310/acta.2019.v222.n2.a1

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