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Finite-temperature effects on the number fluctuation of ultracold atoms across the Superfluid to Mott-insulator transition

Xiancong Lu·Yue Yu
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Abstract

We study the thermodynamics of ultracold Bose atoms in optical lattices by numerically diagonalizing the mean-field Hamiltonian of the Bose-Hubbard model. This method well describes the behavior of long-range correlations and therefore is valid deep in the superfluid phase. For the homogeneous Bose-Hubbard model, we draw the finite-temperature phase diagram and calculate the superfluid density at unity filling. We evaluate the finite-temperature effects in a recent experiment probing number fluctuation [Phys. Rev. Lett. \textbf{96}, 090401 (2006)], and find that our finite-temperature curves give a better fitting to the experimental data, implying non-negligible temperature effects in this experiment.

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Xiancong Lu, Yue Yu. 2006-12-14. Finite-temperature effects on the number fluctuation of ultracold atoms across the Superfluid to Mott-insulator transition. https://doi.org/10.1103/physreva.74.063615

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