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

VO Krasnov, IV Stasyuk - arXiv preprint arXiv:1910.00919, 2019 - arxiv.org
arXiv preprint arXiv:1910.00919, 2019arxiv.org
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}\leqslant 2$
restriction enables one to analyze a more general case of separated lobes Mott insulator in
comparison with the case of $ n_\text {B}\leqslant 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 …
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 restriction enables one to analyze a more general case of separated lobes Mott insulator in comparison with the case of (hard-core bosons). It also showed that the restriction to no more than 2 bosons on site is enough to comprehend the structure of diagrams at arbitrary values with an account of a possibility of the 1st order phase transition.
arxiv.org