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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| Format: | Article |
| Language: | English |
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IOP Publishing
2015-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/17/12/125002 |
| _version_ | 1827873831293812736 |
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| author | Tena Dubček Karlo Lelas Dario Jukić Robert Pezer Marin Soljačić Hrvoje Buljan |
| author_facet | Tena Dubček Karlo Lelas Dario Jukić Robert Pezer Marin Soljačić Hrvoje Buljan |
| author_sort | Tena Dubček |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:42:26Z |
| format | Article |
| id | doaj.art-5cb548fd9f294c99ab9d99ce7e11e0e6 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:42:26Z |
| publishDate | 2015-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-5cb548fd9f294c99ab9d99ce7e11e0e62023-08-08T14:22:33ZengIOP PublishingNew Journal of Physics1367-26302015-01-01171212500210.1088/1367-2630/17/12/125002The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunnelingTena Dubček0Karlo Lelas1Dario Jukić2Robert Pezer3Marin Soljačić4Hrvoje Buljan5Department of Physics, University of Zagreb, Bijenička c. 32, 10000 Zagreb, CroatiaFaculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000 Zagreb, CroatiaDepartment of Physics, University of Zagreb, Bijenička c. 32, 10000 Zagreb, Croatia; Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, GermanyFaculty of Metallurgy, University of Zagreb, Aleja narodnih heroja 3, HR 44 103 Sisak, CroatiaDepartment of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USADepartment of Physics, University of Zagreb, Bijenička c. 32, 10000 Zagreb, CroatiaWe 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.https://doi.org/10.1088/1367-2630/17/12/125002synthetic magnetic fieldsphotonic latticestopological effectsconical diffraction42.50.Xa42.82.Et |
| spellingShingle | Tena Dubček Karlo Lelas Dario Jukić Robert Pezer Marin Soljačić Hrvoje Buljan The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling New Journal of Physics synthetic magnetic fields photonic lattices topological effects conical diffraction 42.50.Xa 42.82.Et |
| title | The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling |
| title_full | The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling |
| title_fullStr | The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling |
| title_full_unstemmed | The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling |
| title_short | The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling |
| title_sort | harper hofstadter hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling |
| topic | synthetic magnetic fields photonic lattices topological effects conical diffraction 42.50.Xa 42.82.Et |
| url | https://doi.org/10.1088/1367-2630/17/12/125002 |
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