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Floquet topological photonic insulators characterized by periodically-varyingHamiltonians are known to exhibit much richer topological behaviors than staticsystems. In a Floquet insulator, the phase evolution of the Floquet-Bloch modesplays a crucial role in determining its topological behaviors. Here we showthat by perturbing the driving sequence, it is possible to manipulate thecyclic phase change of the system over each evolution period to induce quantumself-interference of a bulk mode, leading to a new topological resonancephenomenon called Floquet Mode Resonance (FMR). The FMR is fundamentallydifferent from other types of optical resonances in that it is cavity-lesssince it does not require physical boundaries. Its spatial localization patternis instead dictated by the driving sequence and can thus be used to probe thetopological characteristics of the system. We demonstrated excitation of FMRsby edge modes in a Floquet octagon lattice on silicon-on-insulator, achievingextrinsic quality factors greater than 10^4. Imaging of the scattered lightpattern directly revealed the hopping sequence of the Floquet system andconfirmed the spatial localization of FMR in a bulk-mode loop. The newtopological resonance effect could enable new applications in lasers, opticalfilters and switches, nonlinear cavity optics and quantum optics.

Floquet Mode Resonance: Trapping light in the bulk mode of a Floquet topological insulator by quantum self-interference