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Quantum Chaos in the Bose-Hubbard model

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arxiv cond-mat/0403213 v2 pith:YXLZRHI4 submitted 2004-03-08 cond-mat.soft

Andrey R. Kolovsky , Andreas Buchleitner This is my paper
classification cond-mat.soft
keywords modelbose-hubbardspectralchaosconditionsexhibitsfermionsfound
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We present a numerical study of the spectral properties of the 1D Bose-Hubbard model. Unlike the 1D Hubbard model for fermions, this system is found to be non-integrable, and exhibits Wigner-Dyson spectral statistics under suitable conditions.

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  1. Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions

    cond-mat.quant-gas 2025-06 conditional novelty 6.0 of 10

    A carefully tuned three-site extended Bose-Hubbard model with nearest-neighbour interactions is integrable and solved exactly by a Bethe ansatz.

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