Dissipative gap solitons and vortices in moir'{e} optical lattices

Considerable attention has been recently paid to elucidation the linear, nonlinear and quantum physics of moir'{e} patterns because of the innate extraordinary physical properties and potential applications. Particularly, moir'{e} superlattices consisted of two periodic structures with a twist angle offer a new platform for studying soliton theory and its practical applications in various physical systems including optics, while such studies were so far limited to reversible or conservative nonlinear systems. Herein, we provide insight into soliton physics in dissipative physical settings with moir'{e} optical lattices, using numerical simulations and theoretical analysis. We reveal linear localization-delocalization transition, and find that such nonlinear settings support plentiful localized gap modes representing as dissipative gap solitons and vortices in periodic and aperiodic moir'{e} optical lattices, and identify numerically the stability regions of these localized modes. Our predicted dissipative localized modes provide insightful understanding of soliton physics in dissipative nonlinear systems since dissipation is everywhere.