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Revealing the Condensate and Non-Condensate Distributions in the Inhomogeneous Bose-Hubbard Model

We calculate the condensate fraction and the condensate and non-condensate spatial and momentum distribution of the Bose-Hubbard model in a trap. From our results, it is evident that using approximate distributions can lead to erroneous experimental estimates of the condensate. Strong interactions cause the condensate to develop pedestal-like structures around the central peak that can be mistaken as non-condensate atoms. Near the transition temperature, the peak itself can include a significant non-condensate component. Using distributions generated from QMC simulations, experiments can map their measurements for higher accuracy in identifying phase transitions and temperature.

preprint2012arXivOpen access
Ushnish RayDavid M. Ceperley
physics.atom-phcond-mat.quant-gasquant-ph
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Ushnish RayDavid M. Ceperley

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