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Number Statistics of Ultracold Bosons in Optical Lattice

Yu Chuan Wen·Jing Yu Gan·Xiancong Lu·Yue Yu
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Abstract

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.

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Yu Chuan Wen, Jing Yu Gan, Xiancong Lu, Yue Yu. 2006-09-27. Number Statistics of Ultracold Bosons in Optical Lattice. https://arxiv.org/abs/cond-mat/0609681

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