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arXiv:1410.5948 · The European Physical Journal B

Degenerate approach to the mean field Bose-Hubbard Hamiltonian

A. M. Belemuk, Valentin Nikolaevich Ryzhov

Published Apr 1, 2016• 0 citations
arXivHTMLPDF
DOI
10.1140/epjb/e2016-60820-5

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The zero temperature phase diagram for ultracold bosons in a random 1D potential is obtained through a site decoupling mean-field scheme performed over a Bose-Hubbard (BH) Hamiltonian, whose hopping term is considered as a random variable. As for the model with random on-site potential, the presence of disorder leads to the appearance of a Bose glass phase. The different phases—i.e., Mott insulator, superfluid, and Bose glass—are characterized in terms of condensate fraction and superfluid fraction. Furthermore, the boundary of the Mott lobes is related to an off-diagonal Anderson model featuring the same disorder distribution as the original BH Hamiltonian.