Publication: Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach
Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach
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Hainzl, C., Schlein, B., & Triay, A. (2022). Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach. Forum of Mathematics. Sigma, 10, e90. https://doi.org/10.1017/fms.2022.78
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We show that Bogoliubov theory correctly predicts the low-energy spectral properties of Bose gases in the Gross-Pitaevskii regime. We recover recent results from [6, 7]. While our main strategy is similar to the one developed in [6, 7], we combine it with new ideas, taken in part from [15, 25]; this makes our proof substantially simpler and shorter. As an important step towards the proof of Bogoliubov theory, we show that low-energy states exhibit complete Bose-Einstein condensation with optimal control over the number of orthogonal e
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- Schlein, Benjamin
- Triay, Arnaud
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Hainzl, C., Schlein, B., & Triay, A. (2022). Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach. Forum of Mathematics. Sigma, 10, e90. https://doi.org/10.1017/fms.2022.78
