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arXiv:1908.09188 · Journal of Mathematical Physics

Non-existence of Bose–Einstein condensation in Bose–Hubbard model in dimensions 1 and 2

Piotr Stachura, Wiesław Pusz, Jacek Wojtkiewicz

Published Nov 1, 2020• 3 citations
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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 the analogous, classical result known for interacting bosons in a continuum.
DOI
10.1063/5.0009128

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