title: Ermakov-Lewis symmetry in photonic lattices.
abstract: We present a class of waveguide arrays that is the classical analog of a quantum harmonic oscillator, where the mass and frequency depend on the propagation distance. In these photonic lattices, refractive indices and second-neighbor couplings define the mass and frequency of the analog quantum oscillator, while first-neighbor couplings are a free parameter to adjust the model. The quantum model conserves the Ermakov-Lewis invariant, thus the photonic crystal also possesses this symmetry.
authors.forename: B M
authors.initials: BM
authors.lastname: Rodríguez-Lara
authors.forename: P
authors.initials: P
authors.lastname: Aleahmad
authors.forename: H M
authors.initials: HM
authors.lastname: Moya-Cessa
authors.forename: D N
authors.initials: DN
authors.lastname: Christodoulides