Ermakov-Lewis symmetry in photonic lattices

    Authors

    B. M. Rodriguez-Lara; P. Aleahmad; H. M. Moya-Cessa;D. N. Christodoulides

    Comments

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    Abbreviated Journal Title

    Opt. Lett.

    Keywords

    DEPENDENT HARMONIC-OSCILLATOR; EXACT INVARIANTS; SYSTEMS; Optics

    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. (C) 2014 Optical Society of America

    Journal Title

    Optics Letters

    Volume

    39

    Issue/Number

    7

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    2083

    Last Page

    2085

    WOS Identifier

    WOS:000333887800096

    ISSN

    0146-9592

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