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

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.

11 pages. Contribution to Proceedings of QMath14. Aarhus, August 2019

References in corpus (3)

• The Second Order Upper Bound for the Ground Energy of a Bose Gas
• The ground state energy of a low density Bose gas: a second order upper bound
• The ground state energy of the weakly interacting Bose gas at high density

Cited by in corpus (2)

• Many-body excitations in trapped Bose gas: A non-Hermitian view
• On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein Condensate