Dynamic line integral convolution for quantum hydrodynamics

Abstract

This thesis demonstrates the application of the dynamic line integral convolution (DLIC) algorithm to the Gross-Pitaevskii equation and quantum hydrodynamics. Line integral convolution is a powerful method of visualizing vector fields, particularly in fluid mechanics and electromagnetism. By assigning specific hues along streamlines of a fluid, line integral convolution helps to visualize flow and understand physical phenomena. This method was applied to a specific quantum state, a squeezed coherent state with Kerr nonlinearity, in order to demonstrate the effectiveness of this method in illustrating the state's quantum hydrodynamical properties.