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The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime

Published 2 Jan 2020 in math-ph and math.MP | (2001.00497v2)

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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