Spin Structure Factor Calculations using Matrix Product States

Abstract

The spin structure factor is the dynamical information coming from inelastic neutron scattering. In this work we develop the technology of tensor networks as a numerical tool to be able to compute physical observables reliably for one-dimensional quantum systems. The main technical message of this thesis is that tensor networks provide a controlled way to compute spin structure factors. The algorithms in this thesis are tested on the anisotropic Majumdar--Ghosh model and the results of these simulations are presented and discussed.