Martina Teruzzi — Università di Milano # Quantum Monte Carlo Study of Excitations in a One Dimensional System of Soft Spheres # The aim is calculating the ground and excited states properties of one-dimensional bosons interacting with a soft repulsive potential at zero temperature, as a function of density and interaction strength. I am characterizing the liquid phase in terms of Luttinger Liquid theory and I am investigating the high-density Cluster Luttinger Liquid phase. Through the Genetic Inversion via Falsification of Theories (GIFT) method, I am extracting the excitation spectrum of density fluctuations from the density-density imaginary-time correlation functions.