Semiclassics

We develop techniques to study the features of quantum dynamics that bear witness of their underlying classical structure. Although semiclassical visualizations (such as the Husimi distribution and also Wigner's quasi-probability distribution function) have been produced before, in collaboration with Dr. Mason (Twitter) and Prof. Heller (Harvard University) we developed the notion of processed Husimi flows. This approach is optimal for studying the dynamics of certain systems; producing clearer pictures than those obtained from the traditional flux operator. For instance, the wavefunction above (c) is for an electron in a magnetic field. A set of coherent state projections is shown in grey (a-b). The flux (a) averages over all such projections giving a total flow (blue arrow) that does not reflect the dynamics of the system. However, in (b) we see that the processed Husimi flow (red arrows) does reconstruct the flow structure present in the wavefunction.