Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects

Julia Stasińska; Mateusz Łącki; Omjyoti Dutta; Jakub Zakrzewski; Maciej Lewenstein

doi:10.1103/physreva.90.063634

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arXiv · 1410.1034

Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects

Julia Stasińska·Mateusz Łącki·Omjyoti Dutta·Jakub Zakrzewski·Maciej Lewenstein

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Abstract

We investigate the phase diagrams of theoretical models describing bosonic atoms in a lattice in the presence of randomly localized impurities. By including multiband and nonlinear hopping effects we enrich the standard model containing only the chemical-potential disorder with the site-dependent hopping term. We compare the extension of the MI and the BG phase in both models using a combination of the local mean-field method and a Hartree-Fock-like procedure, as well as, the Gutzwiller-ansatz approach. We show analytical argument for the presence of triple points in the phase diagram of the model with chemical-potential disorder. These triple points however, cease to exists after the addition of the hopping disorder.

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Julia Stasińska, Mateusz Łącki, Omjyoti Dutta, Jakub Zakrzewski, Maciej Lewenstein. 2014-12-19. Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects. https://doi.org/10.1103/physreva.90.063634

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