Using an operator version of the Bogoliubov inequality, the authors rigorously rule out Bose-Einstein condensation in the 1D and 2D Bose-Hubbard model at positive temperature.
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Non-existence of Bose-Einstein condensation in Bose-Hubbard model in dimensions 1 and 2
Using an operator version of the Bogoliubov inequality, the authors rigorously rule out Bose-Einstein condensation in the 1D and 2D Bose-Hubbard model at positive temperature.