BOGOLIUBOV EXCITATION SPECTRUM FOR BOSE-EINSTEIN CONDENSATES

摘要

We consider interacting Bose gases trapped in a box A= [0; l]~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 a joint work with C. Boccato, C. Brennecke and S. Cenatiempo.