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 secondneighbor 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. © 2014 Optical Society of America.

Publication Date

4-1-2014

Publication Title

Optics Letters

Volume

39

Issue

7

Number of Pages

2083-2085

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1364/OL.39.002083

Socpus ID

84897982237 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84897982237

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