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 in situ axial density profiles for the weakly interaction Bose gas of 87Rb atoms at different temperatures. The solid lines show the result obtained from the Yang–Yang equations. The values of the chemical potentials are indicated by the harmonically trapping potentials. The experimental data show a good agreement with the theoretical prediction from the Yang–Yang equation.[ 55 ]