Understanding many-body physics in one dimension from the Lieb–Liniger model*
Jiang Yu-Zhua),b), Chen Yang-Yanga),b), Guan Xi-Wena),b)†
       
The ratio of compress mode over the trapping frequency versus the interaction parameter A 2. The squares show the experimental measurements in strong attractive regime. The circles show the experimental data ranging from weak coupling to strong TG regimes. The black solid line stands for the exact result from the Lieb–Linger gas with a repulsion. The dashed lines present the theoretical data from the result.[ 30 ] Further study of the Tonks–Girardeau gas can be found in Ref. [ 32 ].