The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling
Author(s)Dubcek, Tena; Lelas, Karlo; Jukic, Dario; Pezer, Robert; Soljacic, Marin; Buljan, Hrvoje; ... Show more Show less
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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.
DepartmentMassachusetts Institute of Technology. Department of Physics
New Journal of Physics
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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