Spectral Properties of the Bose-Hubbard Model Within the Cluster Perturbation Theory in X-Operators Representation


We study the two-dimensional ultracold Bose gas in optical lattice. We use cluster perturbation theory based on Hubbard X-operators to calculate the spectral function and phase diagram of Bose-Hubbard model which is minimal model to describe behavior of ultracold gases in optical lattices. We have analyzed spectral properties of spinless bosons in a square lattice taking into account the short-range correlation.

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This work was supported by RFBR grant 16-02-00098, Government of Krasnoyarsk Territory and RFBR according to the research projects 16-42-243048, 16-42-240511, and 16-42-240769, and the Russian President Grant NSh-7559.2016.2.

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Correspondence to Kirill Kudashkin.

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Kudashkin, K., Nikolaev, S. & Ovchinnikov, S. Spectral Properties of the Bose-Hubbard Model Within the Cluster Perturbation Theory in X-Operators Representation. J Supercond Nov Magn 30, 103–107 (2017). https://doi.org/10.1007/s10948-016-3781-y

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  • Bose-Hubbard model
  • Ultracold gases
  • Cluster perturbation theory
  • Density of states
  • Spectral properties