  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.
