Short-distance correlation properties of the Lieb-Liniger system and momentum distributions of trapped one-dimensional atomic gases

Short-distance correlation properties of the Lieb-Liniger system and momentum distributions of trapped one-dimensional atomic gases

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 an...

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Veröffentlicht in:Physical review letters 2003-08, Vol.91 (9), p.090401-090401, Article 090401
Hauptverfasser: Olshanii, Maxim, Dunjko, Vanja
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container_title Physical review letters
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creator Olshanii, Maxim
Dunjko, Vanja
description 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.
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title Short-distance correlation properties of the Lieb-Liniger system and momentum distributions of trapped one-dimensional atomic gases
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