Dynamics of stripe pattern formation in high-Tc superconductors following a quench

Recent experiments using ultrafast time-resolved X-ray scattering have succeeded in probing the charge order dynamics in high temperature superconductors, following a sudden quench of the system. Here, we investigate the relaxation dynamics of the quench process of stripe ordering from disordered states, using the Swift-Hohenberg equation as a phenomelogical model forthe collective modes of charge density waves. We calculate the relaxation rate of the structure factor shortly after the quench perturbatively, and extract the diffusive properties by fitting the relaxation rate in 2D momentum space. We numerically simulate the quench process in a 2D system, representing a copper-oxygen plane, and through a direct measurement, we determine the transport properties and compare with experimental results.