We consider a gas of interacting bosons trapped in a box of side length one in the Gross-Pitaevskii limit. We review the proof of the validity of Bogoliubov's prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein.
The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime / C. Boccato. - In: REVIEWS IN MATHEMATICAL PHYSICS. - ISSN 0129-055X. - 33:1(2021), pp. 2060006.1-2060006.11. [10.1142/S0129055X20600065]
The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime
C. Boccato
2021
Abstract
We consider a gas of interacting bosons trapped in a box of side length one in the Gross-Pitaevskii limit. We review the proof of the validity of Bogoliubov's prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein.
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