Understanding many-body physics in one dimension from the Lieb–Liniger model*
Jiang Yu-Zhua),b), Chen Yang-Yanga),b), Guan Xi-Wena),b)†
       
Luttinger parameter K versus interaction strength γ . Blue dashed line: the result obtained from Eq. ( 54 ) for the strong coupling limit; red dashed line: result obtained from Eq. ( 53 ) for weak coupling regime; black solid line: the numerical result obtained from Eq. ( 51 ). The analytical result of the Luttinger parameter is in a good agreement with the numerical result.