Fig. 2: Observation of twin-beam formation in a 1+1D topological transition.

A Transverse xy intensity distribution I normalized to the peak intensity of the beam Ip at the input facet as transmitted by the mask (inset) that diffracts to the output after Lz = 2.2 mm propagation to 72 μm (FWHM) for t = 0 (i.e., α = 0). B Output distribution for the scale-free optics regime (t = 15 s and corresponding α = 1). C The beam now self-induces the transition at t = 50 s, leading to D the signature non-diffracting splitting regime for t > 150 s (α > 1). E The self-induced transition seen in time (and corresponding estimated value of α) using the x intensity profile (dashed lines in A–D) (Source data are provided as a Source Data file).