"Fractal behavior of polaritons in a quasi-periodic potential : a quantum simulator of topological systems"
I will present recent results obtained both theoretically and
experimentally on fractal spectral properties of a polariton gas in a
Fibonacci quasi-periodic potential. The observed spectrum is
accurately reproduced from a theoretical model that we shall present.
We have observed for the first time log-periodic oscillations and the
opening of mini-gaps following the gap labeling theorem. These results
illustrate the potential of cavity polaritons as a quantum simulator
in complex topological geometries.