Bose-Fermi-Hubbard model in the truncated Hilbert space limit

Abstract

It is shown that in the Bose-Fermi-Hubbard model which is used for a description of the ultracold atomic boson-fermion mixture in the optical lattice, the $n_{\text{B}}⩽2$ restriction enables one to analyze a more general case of separated lobes Mott insulator in comparison with the case of $n_{\text{B}}⩽1$ (hard-core bosons). It also showed that the restriction to no more than 2 bosons on site is enough to comprehend the structure of $(\mu ,|t_0|)$ diagrams at arbitrary $n^{\text{b}}$ values with an account of a possibility of the 1st order phase transition.

8 pages, 5 figures

References in corpus (5)

• Ultracold heteronuclear molecules in a 3D optical lattice
• Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
• Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
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Cited by in corpus (1)

• Massive Dirac states bound to vortices by a boson-fermion interaction