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Non-existence of Bose–Einstein condensation in Bose–Hubbard model in dimensions 1 and 2
Journal of Mathematical Physics ( IF 1.3 ) Pub Date : 2020-11-01 , DOI: 10.1063/5.0009128
Piotr Stachura 1 , Wiesław Pusz 2 , Jacek Wojtkiewicz 2
Affiliation  

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.

中文翻译:

Bose-Hubbard 模型在维度 1 和 2 中不存在 Bose-Einstein 凝聚

我们将 Bogoliubov 不等式应用于 Bose-Hubbard 模型以排除 Bose-Einstein 凝聚的可能性。对于在任何非零温度下的任何填充,结果在一维和二维中成立。这个结果可以被认为是对已知的连续相互作用玻色子的类似经典结果的补充。
更新日期:2020-11-01
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