Fig. 7: Entangled light-matter dynamics.

Photon and charge dynamics, for the initial state \(\left\vert 1;n=2\right\rangle\), considering a configuration with both anomalous and single-particle edge states. a Electronic occupation probability of the first site of the chain \({P}_{1}^{{{{\rm{ch}}}}}(t)\) as a function of time, for two different time scales. The dashed, vertical lines indicate the relevant oscillation periods, as obtained from the Fourier Transform. b Photon dynamics \({P}_{n}^{{{{\rm{ph}}}}}(t)\) for the subspace n = 1 (yellow) and n = 2 (red) as a function of time. In both plots, the dashed, vertical lines indicate the relevant oscillation periods. Parameters: \({{\Omega }}=4,{J}^{{\prime} }=2,J=1,g=0.35,N=8,{n}_{\max }=50\).