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.
Bogoliubov theory; Bose gas; Bose-Einstein condensation; Gross-Pitaevskii regime
Settore MAT/07 - Fisica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/859674
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