Posting has become infrequent due to some urgent deadlines and talk preparations over the last few weeks. Lots of great stuff has appeared on arXiv in May which I'm hoping to read and perhaps post about later.
In the meantime, we also have a preprint out:
Self-steepening-induced stabilization of nonlinear edge waves at photonic valley-Hall interfaces
Several previous works demonstrated instabilities of topological edge states in the presence of weak nonlinearities, both numerically and analytically, often via reduction to a 1D nonlinear Schrodinger equation (NSE). We show here that if you go to stronger intensities, higher-order nonlinear effects (essentially arising from an intensity dependence of the effective Kerr nonlinearity strength) described by a modified nonlinear Schrodinger equation (MNSE) can stabilize the edge states! The phase diagram below nicely summarizes our central result:
I prepared some slides on this and our earlier analyses of nonlinear Dirac models describing topological edge states. The slides including some background material on photonic crystals and topological photonics are available here!
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