Extended Data Fig. 2: Nonlinear dynamics in the (b) square and (a,c) triangular lattices: tight-binding simulations.

In all lattices, light was injected from a single site with peak power favoring a JT irreversible expansion, just below the threshold of self-focusing collapse. The average (Rayleigh-Jeans) conversion efficiency to the fundamental mode is 85.3%, 79.3% and 91% for the, triangular (hexagonal), square, and triangular (irregular) lattice, respectively. An irreversible exchange of energy is observed between \(U\) and \({H}_{{NL}}\), matching almost perfectly with theoretical prediction. The teal dashed line represents Eq. 4 while the teal solid line includes a correction term, \({U}_{L}=-1/2{P}^{2}+{H}_{{NL},\min }=-1/2{P}^{2}+1/(2M){P}^{2}\).