Ushnish Ray, David M. Ceperley
Revealing the Condensate and Non-Condensate Distributions in the
Inhomogeneous Bose-Hubbard Model [PDF]
View original: http://arxiv.org/abs/1209.1053
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.