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arXiv · 1505.06690

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

Tena Dubček·Karlo Lelas·Dario Jukić·Robert Pezer·Marin Soljačić·Hrvoje Buljan
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Abstract

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.

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Tena Dubček, Karlo Lelas, Dario Jukić, Robert Pezer, Marin Soljačić, Hrvoje Buljan. 2015-06-11. The Harper-Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling. https://doi.org/10.1088/1367-2630%2F17%2F12%2F125002

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