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

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

2006-09-10

arxiv.org/abs/cond-mat/0609230v3

Phys. Rev. A 74, 063615 (2006)

Physics

Condensed Matter

Other Condensed Matter

7 pages,7 figures, final version for publication

Scientific paper

10.1103/PhysRevA.74.063615

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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