title: Gilmore-Perelomov symmetry based approach to photonic lattices.
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.
authors.forename: Liliana Villanueva
authors.initials: LV
authors.lastname: Vergara
authors.forename: B M
authors.initials: BM
authors.lastname: Rodríguez-Lara