We describe a new class of nonequilibrium quantum many-body phenomena in the form networks caustics that dominate wave function semiclassical regime following sudden quench. It includes light cone-like propagation correlations as particular case. Caustics are singularities formed by birth and death waves hierarchy universal patterns whose natural mathematical description is via catastrophe theo...

I investigate the caustics produced by the fall of collisionless dark matter in and out of a galaxy in the limit of negligible velocity dispersion. The outer caustics are spherical shells enveloping the galaxy. The inner caustics are rings. These are located near where the particles with the most angular momentum are at their distance of closest approach to the galactic center. The surface of a...