Work

Ermakov–Lewis symmetry in photonic lattices

Year: 2014
Type: article
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.
Language: English
Open Access status: green
OpenAlex ID: W2082425656
FWCI: 2.847
Cites: 22
Cited by: 27
Related to: 10