Partial synchronization and multistability in optically coupled laser networks

Kathy L{\"u}dge Fabian B{\"o}hm

Technische Universit{\"a}t Berlin, Germany

Optically coupling different lasers to each other via a common mirror leads to an all-to all coupled network architecture that can serve as a testbed for delay-coupled networks and that is also a good candidate for testing new methods in signal processing. Using the well-known Lang-Kobayashi-model for the local laser dynamics, we investigate the occurring nonlinear dynamics of the network with identical units and small delay times. Bifurcation structure as well as synchronization patterns are analysed. We find that additional to one-color-symmetric stable states, where all lasers emit continuous light with equal intensities, also one-color-symmetry-broken states occur, where the units are partially synchronized. Further, multi-color symmetry and symmetry-broken states are found, where the lasers emit pulsed or chaotic light while forming different clusters. Within the regions of multi-color symmetry-broken states, we observe various regions of multi-stability, which could be utilized for switching applications.