%0 Journal Article
%T Number Statistics of Ultracold Bosons in Optical Lattice
%A Yu Chuan Wen
%A Jing Yu Gan
%A Xiancong Lu
%A Yue Yu
%J Physics
%D 2006
%I arXiv
%X We study the number statistics of ultracold bosons in optical Lattice using the slave particle technique and quantum Monte Carlo simulations. For homogeneous Bose-Hubbard model, we use the slave particle technique to obtain the number statistics near the superfluid to normal-liquid phase transition. The qualitatively behavior agree with the recent experiment probing number fluctuation [Phys. Rev. Lett. \textbf{96}, 090401 (2006)]. We also perform quantum Monte Carlo simulations to 1D system with external harmonic trap. The results qualitatively agree with the experiments.
%U http://arxiv.org/abs/cond-mat/0609681v1