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Collective phenomena in laser networks with non identical units

PD Dr. Kathy Lüdge:

 

The aim of the project is to study the nonlinear dynamics of delay-coupled lasers forming a complex network made of nonidentical units. In a first step the bifurcation scenarios of a limited number of lasers coupled with a common mirror will be studied. The main questions will be which kind of synchronization patterns exist and how the stability may be controlled. In a second step the ability to use these laser networks for applications like "reservoir computing" will be explored. This method of training a network to perform computation is inspired by the brain and may be highly efficient for technological implementations.
To describe the laser network, Lang-Kobayashi equation for the local dynamics will be used. This model system for a laser with self-feedback was already subject to intensive investigations and thus its bifurcation structure as well as its regimes of chaotic behavior are known. Starting from there the emerging dynamics when coupling more than 2 lasers will be explored, with a special focus on phase-locking e ects that may occur if, e.g. lasers with di erent properties are coupled.
Depending on the coupling phases it is expected to find various stable solutions for the whole network that can be described by anti-phase or in-phase dynamics of the di fferent nodes. If a large number of lasers are coupled the occurrence of multi-stability as well as possible transient dynamics should open the possibility to use the network for information processing.

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