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

Journal Article · Fri Dec 15 00:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.063615· OSTI ID:20976529

Xiancong, Lu; Yue, Yu ^[1]

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1. Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080 (China)

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. 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.

• OSTI ID: 20976529
• Journal Information: Physical Review. A, Vol. 74, Issue 6; Other Information: DOI: 10.1103/PhysRevA.74.063615; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATOMS
BOSONS
CORRELATIONS
DENSITY
FLUCTUATIONS
HAMILTONIANS
HUBBARD MODEL
MEAN-FIELD THEORY
METALS
PHASE DIAGRAMS
SUPERFLUIDITY
TEMPERATURE DEPENDENCE
THERMODYNAMICS