Consider a macroscopic Bose-Einstein condensate. Are there experimental results regarding the propagation (in space and time) of the collapse of this state caused by a point-like perturbation?
Perturbing (e.g. heating) the condensate locally for a longer time may collapse the state globally - but not instantaneously; how does the collapse propagate?
Probably you can calculate it using the Ginzburg-Landau equation. Suppose that Abrikosov and other russians have considered this as it seems to be similar to problems involving e.g. magnetic flux tubes.