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math-ph2019★ 3 cited
Non-existence of Bose-Einstein condensation in Bose-Hubbard model in dimensions 1 and 2
Piotr Stachura, Wiesław Pusz, Jacek Wojtkiewicz
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…
math-ph2015★ 1 cited
Operator reflection positivity inequalities and their applications to interacting quantum rotors
Jacek Wojtkiewicz, Wiesław Pusz, Piotr Stachura
In the Reflection Positivity theory and its application to statistical mechanical systems, certain matrix inequalities play a central role. The Dyson-Lieb-Simon and Kennedy-Lieb-Sh…