Bogoliubov Theory in the Gross-Pitaevskii Limit

Thursday, 4 January, 2018

Published in: 

arXiv:1801.01389

We consider Bose gases consisting of N particles trapped in a box with volume one and interacting through a weak, repulsive potential with scattering length of the order N−1(Gross-Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as N \to \infty. Our results confirm Bogoliubov's predictions.

Author(s): 

Chiara Boccato
Christian Brennecke
Serena Cenatiempo
Benjamin Schlein