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June 2019 Bogoliubov theory in the Gross–Pitaevskii limit
Chiara Boccato, Christian Brennecke, Serena Cenatiempo, Benjamin Schlein
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Acta Math. 222(2): 219-335 (June 2019). DOI: 10.4310/ACTA.2019.v222.n2.a1

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 $N \to \infty$. Our results confirm Bogoliubov’s predictions.

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Chiara Boccato. Christian Brennecke. Serena Cenatiempo. Benjamin Schlein. "Bogoliubov theory in the Gross–Pitaevskii limit." Acta Math. 222 (2) 219 - 335, June 2019. https://doi.org/10.4310/ACTA.2019.v222.n2.a1

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Received: 28 February 2018; Published: June 2019
First available in Project Euclid: 16 April 2020

zbMATH: 1419.82064
MathSciNet: MR3974476
Digital Object Identifier: 10.4310/ACTA.2019.v222.n2.a1

Rights: Copyright © 2019 Institut Mittag-Leffler

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Vol.222 • No. 2 • June 2019
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