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Annals of Physics

Exponents of the spectral functions and dynamical structure factor of the 1D Lieb–Liniger Bose gas

J. M. P. Carmelo, Pedro D Sacramento

Published Mar 28, 2016• 8 citations
Publisher
DOI
10.1016/j.aop.2016.03.009

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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.