Dynamics and Thermodynamics of the Bose-Hubbard model

Details Dynamics and Thermodynamics of the Bose-Hubbard model Dynamics and Thermodynamics of the Bose-Hubbard model

1998-07-02

arxiv.org/abs/cond-mat/9807033v1

Physics

Condensed Matter

RevTex, 4 pages, 4 figures (eps format)

Scientific paper

10.1103/PhysRevB.59.12184

We report results from a systematic analytic strong-coupling expansion of the Bose-Hubbard model in one and two spatial dimensions. We obtain numerically exact results for the dispersion of single particle and single hole excitations in the Mott insulator. The boundary of the Mott phase can be determined with previously unattainable accuracy in one and two dimensions. In one dimension we observe the occurrence of reentrant behavior from the compressible to the insulating phase in a region close to the critical point which was conjectured in earlier work. Our calculation can be used as a benchmark for the development of new numerical techniques for strongly correlated systems.

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