Floquet topological dissipative Kerr solitons and incommensurate frequency combs

Reconfigurable non-Hermitian soliton combs using dissipative couplings and topological windings

The emergence of dissipative Kerr solitons in nonlinear resonators has revolutionized the generation of on-chip coherent optical frequency combs. The formation of dissipative Kerr solitons in conventional single resonators hinges on balancing the resonator dissipation against the parametric gain and balancing the resonator dispersion against the resonance frequency shifts introduced by the Kerr nonlinearity. Here, we theoretically introduce a previously unidentified class of non-Hermitian soliton combs that are enabled by engineering the dissipation and dispersion of a coupled resonator array with nonreciprocal couplings. We show that these non-Hermitian soliton combs allow unprecedented postfabrication agile reconfigurability of the soliton comb spectrum, where the number of comb lines, as well as their frequency spacing, can be markedly tuned by simply tuning the hopping phases between resonators. Such reconfigurable non-Hermitian combs generated using coupled resonator arrays could enable new functionalities for a multitude of comb applications.