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Updated: Jan 16, 2026

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Direct measurement of Tan's contact in a one-dimensional Lieb-Liniger gas
Qi Huang1,2, Hepeng Yao1,3, Xuzong Chen1
1Institute of Quantum Electronics, School of Electronics, Peking University, No. 5 Yiheyuan Road, Haidian District, Beijing 100871, China.
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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