Finite-temperature effects on the number fluctuation of ultracold atoms across the Superfluid to Mott-insulator transition
arXiv:cond-mat/0609230 · doi:10.1103/PhysRevA.74.063615
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.
arXiv comment7 pages,7 figures, final version for publication
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