Non-Hermitian sl(3, C) three-mode couplers

The authors developed a general sl(N, C) framework to classify and analyze N-mode couplers in classical and quantum systems. They use algebraic diagonalization of directed graphs to identify spectral topology, distinguishing between local and dynamical spectra. This method allows for the systematic design of coupler families and predicts state evolution by tracing orbits on the group manifold.

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