# Solving the Bose-Hubbard model in new ways

@inproceedings{Sowa2021SolvingTB, title={Solving the Bose-Hubbard model in new ways}, author={A. Sowa and J. Fransson}, year={2021} }

We introduce a new method for analysing the Bose-Hubbard model for an array of bosons with nearest neighbor interactions. It is based on a number-theoretic implementation of the creation and annihilation operators that constitute the model. One of the advantages of this approach is that it facilitates computation with arbitrary accuracy, enabling nearly perfect numerical experimentation. In particular, we provide a rigorous computer assisted proof of quantum phase transitions in finite systems… Expand

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