Microscopic study of static and dynamical properties of dilute   one-dimensional soft bosons
  We study static properties and the dynamical structure factor of zero-temperature dilute bosons interacting via a soft-shoulder potential in one dimension. Our approach is fully microscopic and employs state-of-the-art quantum Monte Carlo and analytic continuation techniques. By increasing the interaction strength, our model reproduces the Lieb-Liniger gas, the Tonks-Girardeau and the Hard-Rods models. 
M. Teruzzi, D.E. Galli, G. Bertaina
cond-mat.quant-gas