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Superfluidity and Interference Pattern of Ultracold Bosons in Optical Lattices

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Published Article
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DOI: 10.1103/PhysRevA.67.031602
arXiv ID: cond-mat/0209066
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arXiv
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Abstract

We present a study of the superfluid properties of atomic Bose gases in optical lattice potentials using the Bose-Hubbard model. To do this, we use a microscopic definition of the superfluid fraction based on the response of the system to a phase variation imposed by means of twisted boundary conditions. We compare the superfluid fraction to other physical quantities, i.e., the interference pattern after ballistic expansion, the quasi-momentum distribution, and number fluctuations. We have performed exact numerical calculations of all these quantities for small one-dimensional systems. We show that the superfluid fraction alone exhibits a clear signature of the Mott-insulator transition. Observables like the fringe visibility, which probe only ground state properties, do not provide direct information on superfluidity and the Mott-insulator transition.

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