Bogoliubov excitation spectrum for Bose-Einstein condensates

Monday, 19 February, 2018

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We consider interacting Bose gases trapped in a box \Lambda = [0;1]^3 in the Gross-Pitaevskii limit. Assuming the potential to be weak enough, we establish the validity of Bogoliubov's prediction for the ground state energy and the low-energy excitation spectrum. These notes are based on \cite{BBCS3}, a joint work with C. Boccato, C. Brennecke and S. Cenatiempo.


Benjamin Schlein