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.
© 2014 Optical Society of America
Full Article | PDF ArticleMore Like This
A. Zúñiga-Segundo, B. M. Rodríguez-Lara, David J. Fernández C., and H. M. Moya-Cessa
Opt. Express 22(1) 987-994 (2014)
Liliana Villanueva Vergara and B. M. Rodríguez-Lara
Opt. Express 23(17) 22836-22846 (2015)
Omri Bahat-Treidel, Or Peleg, and Mordechai Segev
Opt. Lett. 33(19) 2251-2253 (2008)