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In this work, we will review and dramatize legacy topics on tabletop experiments, refined numerics, and continuation methods as well insightful asymptotics for the dynamics of phased arrays of optically coupled quantum well and quantum dot diode lasers. The new set of recent experiments on Topological Diode Lasers provide us with a burning motivation to reexamine these topics and shade light into the ubiquitous instabilities Recoding the linewidth and lineshape of the optical power spectrum of two coupled diode lasers}, optically injected lasers and various feedback configurations we were guided to derive third order Adler type phase equations, as the minimal model of optically coupled diode systems to make predictions and connections with the Kuramoto model. Based on these findings, we have been promoting a differentially pumped two diode laser configuration as a remarkable candidate for the unit cell for the next generation of Topological lasers and Superradiant emitters. The analysis and computation will be presented of the Hopf points and Exceptional Points} for such systems, with their spectral features using rate equations as the staring model. The small signal modulation function of such photonic integrated circuits has been computed and analyzed, finding that even in the twin system we can observe resonances that exist 100GHz speeds. All these findings and observations about the Photonic Meta-Atom will be also reviewed as possible candidate for building blocks of low-noise, highly tunable and ultrafast photonic chip-scale oscillators, with an added simplicity the removal of the expensive optical isolator removed. In addition, two new proposals will be advocated, first, how to observe and dissect Photonic Turbulent Chimeras in large arrays of diode lasers and connect such observations to the elusive Synchronous Sisyphus effect in external cavity lasers, also investigate the chimera presence as a path to the a superradiant emitter and reexamining coexistence of coherent and incoherent modes in the optical comb generated by a passively mode-locked quantum dot laser. We will advocate interpreting such state as a chimera state. Finally, Potential applications of photonic Chimeras in integrated circuits as generators for on-demand optical diverse waveforms will be presented.
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