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...
Main Authors: | , , , , , |
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Other Authors: | |
Format: | Article |
Language: | en_US |
Published: |
IOP Publishing
2016
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Online Access: | http://hdl.handle.net/1721.1/101666 https://orcid.org/0000-0002-7184-5831 |
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. |
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