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arXiv · 1506.02062

Gilmore-Perelomov symmetry based approach to photonic lattices

Liliana Villanueva Vergara·B. M. Rodríguez-Lara
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Abstract

We revisit electromagnetic field propagation through tight-binding arrays of coupled photonic waveguides, with properties independent of the propagation distance, and recast it as a symmetry problem. We focus our analysis on photonic lattices with underlying symmetries given by three well-known groups, $SU(2)$, $SU(1,1)$ and Heisenberg-Weyl, to show that disperssion relations, normal states and impulse functions can be constructed following a Gilmore-Perelomov coherent state approach. Furthermore, this symmetry based approach can be followed for each an every lattice with an underlying symmetry given by a dynamical group.

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Liliana Villanueva Vergara, B. M. Rodríguez-Lara. 2015-06-05. Gilmore-Perelomov symmetry based approach to photonic lattices. https://doi.org/10.1364/oe.23.022836

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