Itinerant-localized dual character of a strongly-correlated superfluid Bose gas in an optical lattice

Details Itinerant-localized dual character of a strongly-correlated superfluid Bose gas in an optical lattice Itinerant-localized dual character of a strongly-correlated superfluid Bose gas in an optical lattice

2005-10-27

arxiv.org/abs/cond-mat/0510725v1

Physics

Condensed Matter

Other Condensed Matter

10 pages, 4 figures

Scientific paper

10.1103/PhysRevA.73.033617

We investigate a strongly-correlated Bose gas in an optical lattice. Extending the standard-basis operator method developed by Haley and Erdos to a boson Hubbard model, we calculate excitation spectra in the superfluid phase, as well as in the Mott insulating phase, at T=0. In the Mott phase, the excitation spectrum has a finite energy gap, reflecting the localized character of atoms. In the superfluid phase, the excitation spectrum is shown to have an itinerant-localized dual structure, where the gapless Bogoliubov mode (which describes the itinerant character of superfluid atoms) and a band with a finite energy gap coexist. We also show that the rf-tunneling current measurement would give a useful information about the duality of a strongly-correlated superfluid Bose gas near the superfluid-insulator transition.

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