The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling

We propose the realization of a grating assisted tunneling scheme for tunable synthetic magnetic fields in optically induced one- and two-dimensional dielectric photonic lattices. As a signature of the synthetic magnetic fields, we demonstrate conical diffraction patterns in particular realization o...

Full description

Bibliographic Details
Main Authors: Dubcek, Tena, Lelas, Karlo, Jukic, Dario, Pezer, Robert, Soljacic, Marin, Buljan, Hrvoje
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: IOP Publishing 2016
Online Access:http://hdl.handle.net/1721.1/101666
https://orcid.org/0000-0002-7184-5831
Description
Summary:We propose the realization of a grating assisted tunneling scheme for tunable synthetic magnetic fields in optically induced one- and two-dimensional dielectric photonic lattices. As a signature of the synthetic magnetic fields, we demonstrate conical diffraction patterns in particular realization of these lattices, which possess Dirac points in k-space. We compare the light propagation in these realistic (continuous) systems with the evolution in discrete models representing the Harper–Hofstadter Hamiltonian, and obtain excellent agreement.