  Diffraction imaging of non-equilibrium dynamics at atomic resolution is
becoming possible with X-ray free-electron lasers. However, there are
unresolved problems with applying this method to objects that are confined in
only one dimension. Here I show that one-dimensional coherent diffraction
imaging is possible by splicing together images recovered from different delays
in a time-resolved experiment. This is used to image the time and space
evolution of antiferromagnetic order in a complex oxide heterostructure from
measurements of a resonant soft X-ray diffraction peak. Mid-infrared excitation
of the substrate is shown to lead to a magnetic front that propagates at a
velocity exceeding the speed of sound, a critical observation for the
understanding of driven phase transitions in complex condensed matter.
