title: Short-distance correlation properties of the Lieb-Liniger system and momentum distributions of trapped one-dimensional atomic gases.
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. 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.
authors.affiliation: Department of Physics & Astronomy, University of Southern California, Los Angeles, California 90089-0484, USA.
authors.forename: Maxim
authors.initials: M
authors.lastname: Olshanii
authors.forename: Vanja
authors.initials: V
authors.lastname: Dunjko