Understanding many-body physics in one dimension from the Lieb–Liniger model*
Jiang Yu-Zhua),b), Chen Yang-Yanga),b), Guan Xi-Wena),b)†
       
Quantum critical behaviour of the entropy and specific heat. (a) The entropy divided by temperature s̃ = s / c has a universal scaling bahavior at the quantum criticality. (b) Specific heat divided by temperature c̃ v = c v/ T has a universal scaling bahavior at the quantum criticality. The inset in (b) shows the collapse of with respect to the argument μ̃ − μ̃ c)/ T̃ .