Logo Logo
Switch Language to German

Hainzl, Christian ORCID logoORCID: https://orcid.org/0000-0002-9772-7323; Schlein, Benjamin ORCID logoORCID: https://orcid.org/0000-0003-0910-9136 and Triay, Arnaud ORCID logoORCID: https://orcid.org/0000-0001-5386-461X (2022): Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach. In: Forum of Mathematics, Sigma, Vol. 10, No. e90: pp. 1-39 [PDF, 665kB]


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 excitations.

Actions (login required)

View Item View Item