Stochastic Mean-Field Theory for the Disordered Bose-Hubbard Model

Details Stochastic Mean-Field Theory for the Disordered Bose-Hubbard Model Stochastic Mean-Field Theory for the Disordered Bose-Hubbard Model

2008-03-31

arxiv.org/abs/0804.0007v3

EPL, 86 (2009) 50007

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 6 figures

Scientific paper

10.1209/0295-5075/86/50007

We investigate the effect of diagonal disorder on bosons in an optical lattice described by an Anderson-Hubbard model at zero temperature. It is known that within Gutzwiller mean-field theory spatially resolved calculations suffer particularly from finite system sizes in the disordered case, while arithmetic averaging of the order parameter cannot describe the Bose glass phase for finite hopping $J>0$. Here we present and apply a new \emph{stochastic} mean-field theory which captures localization due to disorder, includes non-trivial dimensional effects beyond the mean-field scaling level and is applicable in the thermodynamic limit. In contrast to fermionic systems, we find the existence of a critical hopping strength, above which the system remains superfluid for arbitrarily strong disorder.

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