 03314 J.B. Bru and T. C. Dorlas
 Exact solution of the infiniterangehopping BoseHubbard model
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Jun 30, 03

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Abstract. The thermodynamic behavior of the BoseHubbard model is solved for any
temperature and any chemical potential. It is found that there is a range of
critical coupling strengths $\lambda_{c1} < \lambda_{c2} < \lambda_{c3} <
\dots $ in this model. For coupling strengths between $\lambda_{c,k}$ and $%
\lambda_{c,k+1}$, BoseEinstein condensation is suppressed at
densities near the integer values $\rho = 1, \dots, k$ with an
energy gap. This is known as a Mott insulator phase and was
previously shown only for zero temperature. In the context of
ultracold atoms, this phenomenon was experimentally observed in
2002 \cite{BoseCondInsulator1} but, in the BoseHubbard model,
it manifests itself also in the pressurevolume diagram at high
pressures. It is suggested that this phenomenon persists for
finiterange hopping and might also be experimentally
observable.
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