Understanding many-body physics in one dimension from the Lieb–Liniger model*
Jiang Yu-Zhua),b), Chen Yang-Yanga),b), Guan Xi-Wena),b)†
       
Universal scaling behaviors of the density and compressibility at quantum criticality. (a) Density shows the universal scaling behavior given by ( 80 ). (b) Compressibility presents the universal scaling behavior ( 81 ). The inset in (b) shows the collapse of temperature-rescaled compressibility with respect to the argument ( μ̃ − μ̃ c)/ T̃ .