Non-existence of Bose-Einstein condensation in Bose-Hubbard model in dimensions 1 and 2
Mathematical Physics
2020-12-02 v2 Statistical Mechanics
math.MP
Abstract
We apply the Bogoliubov inequality to the Bose-Hubbard model to rule out the possibility of Bose-Einstein condensation. The result holds in one and two dimensions, for any filling at any nonzero temperature. This result can be considered as complementary to analogous, classical result known for interacting bosons in continuum.
Keywords
Cite
@article{arxiv.1908.09188,
title = {Non-existence of Bose-Einstein condensation in Bose-Hubbard model in dimensions 1 and 2},
author = {Piotr Stachura and Wiesław Pusz and Jacek Wojtkiewicz},
journal= {arXiv preprint arXiv:1908.09188},
year = {2020}
}
Comments
version 2; 28 pages