Optical parametric trapping of an integrated dissipative Kerr soliton

In this work, we theoretically, numerically, and experimentally demonstrate that all-optical trapping of a Dissipative Kerr-Soliton (DKS) does not necessarily result in the direct capture of a comb tooth from the auxiliary laser. Instead, DKS Kerr-induced synchronization (KIS) can result from the parametric interaction between two auxiliary lasers. Similar to the generation of parametric cavity solitons, the nonlinear mixing of the auxiliary lasers provides an additional parametric force to the DKS, which, once its phase is close enough to the DKS's, triggers synchronization. Our work extends the range of use for KIS, enabling soliton trapping to occur outside the fixed frequency grid imposed by the soliton microcomb.