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New Journal of Physics

The short-distance first-order correlation function of the interacting one-dimensional Bose gas

Maxim Olshanii, Vanja Dunjko

Published Jul 28, 2003• 9 citations
Publisher

Abstract

We derive exact closed-form expressions for the first few terms of the short-distance Taylor expansion of the one-body correlation function of the Lieb–Liniger gas.
DOI
10.1088/1367-2630/5/1/398

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We derive exact closed-form expressions for the first few terms of the short-distance Taylor expansion of the one-body correlation function of the Lieb-Liniger gas. As an intermediate result, we obtain the high-p asymptotics of the momentum distribution of both free and harmonically trapped atoms and show that it obeys a universal 1/p(4) law for all values of the interaction strength. We discuss the ways to observe the predicted momentum distributions experimentally, regarding them as a sensitive identifier for the Tonks-Girardeau regime of strong correlations.