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

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.

7 pages,7 figures, final version for publication

References in corpus (7)

• Imaging the Mott Insulator Shells using Atomic Clock Shifts
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Interference pattern and visibility of a Mott insulator
• Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
• Perturbative corrections to the Gutzwiller mean-field solution of the Mott-Hubbard model

Cited by in corpus (7)

• Cooling in strongly correlated optical lattices: prospects and challenges
• Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model
• Mean-field phase diagram of cold lattice bosons in disordered potentials
• Successive phase transitions at finite temperatures of the supersolid in the three-dimensional extended Bose-Hubbard model
• Gutzwiller approach to the Bose-Hubbard model with random local impurities
• On-site number statistics of ultracold lattice bosons
• Adiabatic Loading of Cold Bosons in Three-Dimensional Optical Lattices and Superfluid-Normal Phase Transition