Scientific article
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Direct measurement of Tan’s contact in a one-dimensional Lieb-Liniger gas

Published inScience Advances, vol. 11, no. 40, eadv3727
Publication date2025
Abstract

The Tan contact is a pivotal quantity for characterizing many-body quantum systems, bridging microscopic correlations to macroscopic thermodynamic behavior. It is defined as the weight of universal [Formula: see text] momentum tails, but, so far, its direct measurement has been hindered in Bose gases due to interactions strongly altering time-of-flight imaging. Here, we report the first direct measurement of the Tan contact in a strongly correlated Lieb-Liniger gas. Leveraging the one-dimensional geometry of our system, we implement a two-stage expansion scheme, yielding interaction-immune imaging. Our results show good agreement with theoretical predictions and are consistent with a predicted universal scaling law. Our work paves the way for further characterization of the Lieb-Liniger gas across broad interaction regimes and holds promise for extension to other correlated quantum gases in confined geometries.

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Citation (ISO format)
HUANG, Qi et al. Direct measurement of Tan’s contact in a one-dimensional Lieb-Liniger gas. In: Science Advances, 2025, vol. 11, n° 40, p. eadv3727. doi: 10.1126/sciadv.adv3727
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Additional URL for this publicationhttps://www.science.org/doi/10.1126/sciadv.adv3727
Journal ISSN2375-2548
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