Instability of Bose-Einstein condensation on quantum graphs under repulsive perturbations
Mathematical Physics
2018-01-04 v1 math.MP
Abstract
In this Note we investigate Bose-Einstein condensation in interacting quantum many-particle systems on graphs. We extend previous results obtained for particles on an interval and show that even arbitrarily small repulsive two-particle interactions destroy a condensate in the non-interacting Bose gas. Our results also cover singular two-particle interactions, such as the well-known Lieb-Lininger model, in the thermodynamic limit.
Cite
@article{arxiv.1411.7330,
title = {Instability of Bose-Einstein condensation on quantum graphs under repulsive perturbations},
author = {Jens Bolte and Joachim Kerner},
journal= {arXiv preprint arXiv:1411.7330},
year = {2018}
}