Low-energy spectrum and dynamics of the weakly interacting Bose gas
arXiv:2203.00730 · doi:10.1063/5.0089983
Abstract
We consider a gas of N bosons with interactions in the mean-field scaling regime. We review the proof of an asymptotic expansion of its low-energy spectrum, eigenstates and dynamics, which provides corrections to Bogoliubov theory to all orders in 1/N. This is based on joint works with S. Petrat, P. Pickl, R. Seiringer and A. Soffer. In addition, we derive a full asymptotic expansion of the ground state one-body reduced density matrix.
Contribution to the proceedings of the ICMP 2021