Optical Analogues for Massless Dirac Particles and Conical Diffraction in One Dimension
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We demonstrate that light propagating in an appropriately designed lattice can exhibit dynamics akin to that expected from massless relativistic particles as governed by the one-dimensional Dirac equation. This is accomplished by employing a waveguide array with alternating positive and negative effective coupling coefficients, having a band structure with two intersecting minibands. Through this approach optical analogues of massless particle-antiparticle pairs are experimentally realized. One-dimensional conical diffraction is also observed for the first time in this work.
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Control over the sign can be acquired by dynamical modulation of the lattice, Raman-assisted tunneling or embedding defects in infinite arrays.
“Control over this sign can be acquired by dynamical modulation of the lattice [16-21], Raman-assisted tunneling [22, 23] or embedding defects in infinite arrays [24].”
From Universal Sign Control of Coupling in Tight-Binding Lattices (2016) · cites this paper as [21]
Cites
Discrete optics in femtosecond-laser-written photonic structures
Szameit, A., & Nolte, S. (2010) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/0953-4075/43/16/163001 · Cited by 610 · see citing works
Self-citationConical Diffraction and Gap Solitons in Honeycomb Photonic Lattices
Peleg, O., Bartal, G., Freedman, B., Manela, O., Segev, M., & Christodoulides, D. N. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.103901 · Cited by 378 · see citing works
Self-citationObservation of Dynamic Localization in Periodically Curved Waveguide Arrays
Longhi, S., Marangoni, M., Lobino, M., Ramponi, R., Laporta, P., Cianci, E., & Foglietti, V. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.243901 · Cited by 357 · see citing works
Observing<i>Zitterbewegung</i>for Photons near the Dirac Point of a Two-Dimensional Photonic Crystal
Zhang, X. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.113903 · Cited by 315 · see citing works
Szameit, A., Rechtsman, M. C., Bahat-Treidel, O., & Segev, M. (2011) · Physical Review A · doi:10.1103/physreva.84.021806 · Cited by 280 · see citing works
Self-citationClassical Simulation of Relativistic<i>Zitterbewegung</i>in Photonic Lattices
Dreisow, F., Heinrich, M., Keil, R., Tünnermann, A., Nolte, S., Longhi, S., & Szameit, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.143902 · Cited by 235 · see citing works
Self-citationPhotonic analog of Zitterbewegung in binary waveguide arrays
Longhi, S. (2010) · Optics Letters · doi:10.1364/ol.35.000235 · Cited by 131 · see citing works
Quasi-incoherent propagation in waveguide arrays
Szameit, A., Dreisow, F., Hartung, H., Nolte, S., Tünnermann, A., & Lederer, F. (2007) · Applied Physics Letters · doi:10.1063/1.2735953 · Cited by 101 · see citing works
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Weyl Points in Three-Dimensional Optical Lattices: Synthetic Magnetic Monopoles in Momentum Space.
Dubček, T., Kennedy, C. J., Lu, L., Ketterle, W., Soljačić, M., & Buljan, H. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.225301 · Cited by 174 · see citing works
Universal Sign Control of Coupling in Tight-Binding Lattices
Keil, R., Poli, C., Heinrich, M., Arkinstall, J., Weihs, G., Schomerus, H., & Szameit, A. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.213901 · Cited by 83 · see citing works
Self-citationOptical analogue of relativistic Dirac solitons in binary waveguide arrays
Tran, T. X., Longhi, S., & Biancalana, F. (2014) · Annals of Physics · doi:10.1016/j.aop.2013.10.017 · Cited by 68 · see citing works
Dirac Dynamics in Waveguide Arrays: From Zitterbewegung to Photonic Topological Insulators
Dreisow, F., Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Keil, R., Nolte, S., Segev, M., & Szameit, A. (2017) · Quantum Science and Technology · doi:10.1007/978-3-319-52025-4_8 · Cited by 4 · see citing works
Self-citation
- Authors
- Zeuner, J. M., Efremidis, N. K., Keil, R., Dreisow, F., Christodoulides, D. N., Tünnermann, A., Nolte, S., & Szameit, A.
- Affiliations
- Friedrich Schiller University Jena (DE)
- University of Crete (GR)
- University of Central Florida (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-07-13
- Volume
- 109
- Issue
- 2
- Pages
- 023602-023602
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2328717021
- Semantic Scholar
- f2c10078942dafd0c80a9eb65a71ae0b7cc1f150
- Cited by
- 87
- References
- 8
- Citations by year
- 2026: 1 · 2025: 5 · 2024: 2 · 2023: 4 · 2022: 8 · 2021: 5 · 2020: 7 · 2019: 3 · 2018: 7 · 2017: 8 · 2016: 8 · 2015: 9 · 2014: 10 · 2013: 10
- FWCI
- 4.80
- Type
- journal article
- Language
- en
- Open access
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Journal of International Crisis and Risk Communication Research (submittedVersion)
- Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft) (submittedVersion)
- Fraunhofer-Publica (Fraunhofer-Gesellschaft) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- massless Dirac equation, one-dimensional Dirac equation, conical diffraction, waveguide arrays, effective coupling coefficient, particle-antiparticle pairs, photonic lattices
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