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Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases | | Maxim Olshanii
; Vanja Dunjko
; | | Date: |
29 Oct 2002 | | Subject: | Condensed Matter; Mathematical Physics; Exactly Solvable and Integrable Systems | cond-mat math-ph math.MP nlin.SI quant-ph | | Affiliation: | USC and ITAMP | | 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. | | Source: | arXiv, cond-mat/0210629 | | Other source: | [GID 667943] pmid14525162 | | Services: | Forum | Review | PDF | Favorites | |
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