Spatial correlations of trapped 1d bosons in an optical lattice

Details Spatial correlations of trapped 1d bosons in an optical lattice Spatial correlations of trapped 1d bosons in an optical lattice

2003-10-16

arxiv.org/abs/cond-mat/0310388v2

Phys. Rev. A 69 (Rapids), 031601 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevA.69.031601

We investigate a quasi-one dimensional system of trapped cold bosonic atoms in an optical lattice by using the density matrix renormalization group to study the Bose-Hubbard model at T=0 for experimentally realistic numbers of lattice sites. It is shown that a properly rescaled one-particle density matrix characterizes superfluid versus insulating states just as in the homogeneous system. For typical parabolic traps we also confirm the widely used local density approach for describing correlations in the limit of weak interaction. Finally, we note that the superfluid to Mott-insulating transition is seen most directly in the half width of the interference peak.

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