%0 Journal Article
%T The Harper-Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling
%A Tena Dub£¿ek
%A Karlo Lelas
%A Dario Juki£¿
%A Robert Pezer
%A Marin Solja£¿i£¿
%A Hrvoje Buljan
%J Physics
%D 2015
%I arXiv
%X We introduce a grating assisted tunneling scheme for tunable synthetic magnetic fields in photonic lattices, which can be implemented at optical frequencies in optically induced one- and two-dimensional dielectric photonic lattices. We demonstrate a conical diffraction pattern in particular realization of these lattices which possess Dirac points in $k$-space, as a signature of the synthetic magnetic fields. The two-dimensional photonic lattice with grating assisted tunneling constitutes the realization of the Harper-Hofstadter Hamiltonian.
%U http://arxiv.org/abs/1505.06690v2