Volume 86, Number 5, June 2009
|Number of page(s)||6|
|Published online||23 June 2009|
Stochastic mean-field theory for the disordered Bose-Hubbard model
Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität - 60438 Frankfurt/Main, Germany, EU
Corresponding author: email@example.com
Accepted: 27 May 2009
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 . Here we present and apply a new 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.
PACS: 03.75.Lm – Tunneling, Josephson effect, Bose–Einstein condensates in periodic potentials, solitons, vortices, and topological excitations / 72.15.Rn – Localization effects (Anderson or weak localization) / 67.85.Hj – Bose-Einstein condensates in optical potentials
© EPLA, 2009
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