Improved stability for 2D attractive Bose gases
Analysis of PDEs
2020-01-28 v2 Mathematical Physics
math.MP
Abstract
We study the ground-state energy of N attractive bosons in the plane. The interaction is scaled for the gas to be dilute, so that the corresponding mean-field problem is a local non-linear Schr{\"o}dinger (NLS) equation. We improve the conditions under which one can prove that the many-body problem is stable (of the second kind). This implies, using previous results, that the many-body ground states and dynamics converge to the NLS ones for an extended range of diluteness parameters.
Keywords
Cite
@article{arxiv.1909.08902,
title = {Improved stability for 2D attractive Bose gases},
author = {Phan Thành Nam and Nicolas Rougerie},
journal= {arXiv preprint arXiv:1909.08902},
year = {2020}
}