Oscillatory and chaotic regimes of patterns and dark cavity solitons in cavities displaying EIT: static multihead dual chimera states

Oscillating and chaotic regimes of honeycomb patterns and dark cavity solitons are studied in a cavity displaying electromagnetically induced transparency. Considering a three-level atomic system in a 𝛬 configuration, transition to chaotically oscillating honeycombs is numerically investigated and their dynamical behavior is detailed for different control parameter values. We show that a branch of oscillating dark cavity solitons coexists with the honeycomb patterns. These oscillating cavity solitons are studied individually and in mutual interaction. In particular, it is shown that mutually coherent oscillating dark cavity solitons can be obtained by choosing an appropriate separation distance. Finally, we introduce a novel regime of chimera states consisting of a multitude of identically and non-locally coupled dark cavity solitons in which regions of in-phase and anti-phase coherence separated by incoherent areas coexist and are stationary. We discuss the unique features of these structures and categorize them as static multihead dual chimera states. We believe that this is the first time that such chimeric states are reported in a photonic system hosting oscillating and chaotic structures.