The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling
Abstract
Here 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. Lastly, 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.
- Authors:
-
- Univ. of Zagreb, Zagreb (Croatia). Dept. of Physics
- Univ. of Zagreb, Zagreb (Croatia). Faculty of Textile Technology
- Univ. of Zagreb, Zagreb (Croatia). Dept. of Physics; Max Planck Instit. for the Physics of Complex Systems, Dresden (Germany)
- Univ. of Zagreb, Sisak (Croatia). Faculty of Metallurgy
- Massachusetts Instit. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); UKF; US Army Research Office
- OSTI Identifier:
- 1315269
- Grant/Contract Number:
- SC0001299; FG02-09ER46577; 5/13; W911NF-13-D-0001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- New Journal of Physics
- Additional Journal Information:
- Journal Volume: 17; Journal Issue: 12; Journal ID: ISSN 1367-2630
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; synthetic magnetic fields; photonic lattices; topological effects; conical diffraction; topological insulators; magnetic-field; neutral atoms; solitons
Citation Formats
Dubček, Tena, Lelas, Karlo, Jukić, Dario, Pezer, Robert, Soljačić, Marin, and Buljan, Hrvoje. The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling. United States: N. p., 2015.
Web. doi:10.1088/1367-2630/17/12/125002.
Dubček, Tena, Lelas, Karlo, Jukić, Dario, Pezer, Robert, Soljačić, Marin, & Buljan, Hrvoje. The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling. United States. https://doi.org/10.1088/1367-2630/17/12/125002
Dubček, Tena, Lelas, Karlo, Jukić, Dario, Pezer, Robert, Soljačić, Marin, and Buljan, Hrvoje. Mon .
"The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling". United States. https://doi.org/10.1088/1367-2630/17/12/125002. https://www.osti.gov/servlets/purl/1315269.
@article{osti_1315269,
title = {The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling},
author = {Dubček, Tena and Lelas, Karlo and Jukić, Dario and Pezer, Robert and Soljačić, Marin and Buljan, Hrvoje},
abstractNote = {Here 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. Lastly, 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.},
doi = {10.1088/1367-2630/17/12/125002},
journal = {New Journal of Physics},
number = 12,
volume = 17,
place = {United States},
year = {Mon Dec 07 00:00:00 EST 2015},
month = {Mon Dec 07 00:00:00 EST 2015}
}
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