Approximate expression for the dynamic structure factor in the Lieb-Liniger model

Details Approximate expression for the dynamic structure factor in the Lieb-Liniger model Approximate expression for the dynamic structure factor in the Lieb-Liniger model

2009-06-18

arxiv.org/abs/0906.3446v1

J. of Phys.: Conf. Ser. 129, 012051 (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1088/1742-6596/129/1/012051

Recently, Imambekov and Glazman [Phys. Rev. Lett. 100, 206805 (2008)] showed that the dynamic structure factor (DSF) of the 1D Bose gas demonstrates power-law behaviour along the limiting dispersion curve of the collective modes and calculated the corresponding exponents exactly. Combining these recent results with a previously obtained strong-coupling expansion we present an interpolation formula for the DSF of the 1D Bose gas. The obtained expression is further consistent with exact low energy exponents from Luttinger liquid theory and shows nice agreement with recent numerical results.

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