The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling
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Dubcek-2015-The Harper-Hofstadte.pdf
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Author(s)
Dubcek, Tena
Lelas, Karlo
Jukic, Dario
Pezer, Robert
Soljacic, Marin
Buljan, Hrvoje
Date Issued
December 2015
Journal
New Journal of Physics
Publisher
IOP Publishing
Citation
Dubcek, Tena, Karlo Lelas, Dario Jukic, Robert Pezer, Marin Soljacic, and Hrvoje Buljan. “The Harper–Hofstadter Hamiltonian and Conical Diffraction in Photonic Lattices with Grating Assisted Tunneling.” New J. Phys. 17, no. 12 (December 7, 2015): 125002. © 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft
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Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1088/1367-2630/17/12/125002
