Low-energy spectrum and dynamics of the weakly interacting Bose gas
Mathematical Physics
2022-06-22 v1 math.MP
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.
Keywords
Cite
@article{arxiv.2203.00730,
title = {Low-energy spectrum and dynamics of the weakly interacting Bose gas},
author = {Lea Boßmann},
journal= {arXiv preprint arXiv:2203.00730},
year = {2022}
}
Comments
Contribution to the proceedings of the ICMP 2021