Observation of Dynamic Localization in Periodically Curved Waveguide Arrays
Open accessAbstract
We report on a direct experimental observation of dynamic localization (DL) of light in sinusoidally-curved lithium-niobate waveguide arrays which provides the optical analog of DL for electrons in periodic potentials subjected to ac electric fields as originally proposed by Dunlap and Kenkre [Phys. Rev. B 34, 3625 (1986)10.1103/PhysRevB.34.3625]. The theoretical condition for DL in a sinusoidal field is experimentally demonstrated.
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Optical waveguide axis bending introduces an equivalent gravitational potential for photons.
“In other words, optical waveguide axis bending introduces an equivalent gravitational potential for photons, which has found several applications, for example in dynamical localization of light [36, 37], control of photon tunneling [38] and realization of synthetic gauge fields for photons [39, 40] (for a recent review see [41]).”
From Equivalence principle and quantum mechanics: quantum simulation with entangled photons (2018) · cites this paper as [36]
The paper (p. 1) says waveguide curvature provides the optical equivalent of an applied electric field and relates the resulting force to axis bending. It reports dynamic localization of light in curved arrays (p. 4), supporting the cited example, but does not describe the effect as a gravitational potential for photons. (LLM, conf=0.84)
Experimental — accuracy not yet measuredPhotonic structures allow simulation of such external potentials in curved waveguide arrays and resolution of the evolution dynamics.
“photonic structures provide the possibility of simulating such external potentials in curved waveguide arrays as well as of resolving the evolution dynamics [33,47,48].”
From Discrete optics in femtosecond-laser-written photonic structures (2010) · cites this paper as [47]
After every full period, an effective coupling constant c_eff = c J0(2πωA0/z0) can be defined.
“One can formally show [25,33,47] that after every full period z → z + z 0 , an effective coupling constant”
From Discrete optics in femtosecond-laser-written photonic structures (2010) · cites this paper as [47]
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 [17]
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Longhi, S. (2010) · Physical Review B · doi:10.1103/physrevb.81.195118 · Cited by 40 · see citing works
Self-citationTopological flat Wannier-Stark bands
Kolovsky, A. R., Ramachandran, A., & Sergej Flach, A. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.045120 · Cited by 40 · see citing works
Periodic wave packet reconstruction in truncated tight-binding lattices
Longhi, S. (2010) · Physical Review B · doi:10.1103/physrevb.82.041106 · Cited by 39 · see citing works
Self-citationDiscrete beam acceleration in uniform waveguide arrays
El‐Ganainy, R., Makris, K. G., Miri, M., Christodoulides, D. N., & Chen, Z. (2011) · Physical Review A · doi:10.1103/physreva.84.023842 · Cited by 39 · see citing works
Forward/Backward Switching of Plasmonic Wave Propagation Using Sign‐Reversal Coupling
Gao, Z., Gao, F., Zhang, Y., Xu, H., Luo, Y., & Zhang, B. (2017) · Advanced Materials · doi:10.1002/adma.201700018 · Cited by 38 · see citing works
Wang, S., Qin, C., Liu, W., Wang, B., Zhou, F., Han, Y., Zhao, L., Dong, J., Zhang, X., Longhi, S., et al. (2022) · Nature Communications · doi:10.1038/s41467-022-35398-9 · Cited by 39 · see citing works
Self-citationArtificial Gauge Field Enabled Low‐Crosstalk, Broadband, Half‐Wavelength Pitched Waveguide Arrays
Zhou, P., Li, T., Lin, Y., Xia, L., Shen, L., Xu, X., Li, T., & Zou, Y. (2023) · Laser & Photonics Review · doi:10.1002/lpor.202200944 · Cited by 37 · see citing works
Optical analogue of coherent population trapping via a continuum in optical waveguide arrays
Longhi, S. (2008) · Journal of Modern Optics · doi:10.1080/09500340802187373 · Cited by 37 · see citing works
Self-citationSubdiffractive light in bi-periodic arrays of modulated fibers
Staliūnas, K., & Masoller, C. (2006) · Optics Express · doi:10.1364/oe.14.010669 · Cited by 37 · see citing works
Jaynes–Cummings photonic superlattices
Longhi, S. (2011) · Optics Letters · doi:10.1364/ol.36.003407 · Cited by 34 · see citing works
Self-citationCreating topological interfaces and detecting chiral edge modes in a two-dimensional optical lattice
Goldman, N., Jotzu, G., Messer, M., Görg, F., Desbuquois, R., & Esslinger, T. (2016) · Physical Review A · doi:10.1103/physreva.94.043611 · Cited by 37 · see citing works
Theory of high-density low-cross-talk waveguide superlattices
Yang, N., Yang, H., Hu, H., Zhu, R., Chen, S., Zhang, H., & Jiang, W. (2016) · Photonics Research · doi:10.1364/prj.4.000233 · Cited by 36 · see citing works
Light transfer control and diffraction management in circular fibre waveguide arrays
Longhi, S. (2007) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/40/23/008 · Cited by 35 · see citing works
Self-citationModulation-assisted tunneling in laser-fabricated photonic Wannier–Stark ladders
Mukherjee, S., Spracklen, A., Choudhury, D., Goldman, N., Öhberg, P., Andersson, E., & Thomson, R. R. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/11/115002 · Cited by 36 · see citing works
Nonlinearity-induced broadening of resonances in dynamically modulated couplers
Szameit, A., Kartashov, Y. V., Heinrich, M., Dreisow, F., Keil, R., Nolte, S., Tünnermann, A., Vysloukh, V. A., Lederer, F., & Torner, L. (2009) · Optics Letters · doi:10.1364/ol.34.002700 · Cited by 35 · see citing works
Visualization of two-photon Rabi oscillations in evanescently coupled optical waveguides
Ornigotti, M., Valle, G. D., Fernandez, T. T., Coppa, A., Foglietti, V., Laporta, P., & Longhi, S. (2008) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/41/8/085402 · Cited by 35 · see citing works
Self-citationAutoresonant Dynamics of Optical Guided Waves
Barak, A., Lamhot, Y., Frièdland, L., & Segev, M. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.123901 · Cited by 34 · see citing works
Floquet engineering of the non-Hermitian skin effect in photonic waveguide arrays
Ke, S., Wen, W., Zhao, D. X., & Wang, Y. (2023) · Physical Review A · doi:10.1103/physreva.107.053508 · Cited by 35 · see citing works
Non-diffracting states in one-dimensional Floquet photonic topological insulators
Bellec, M., Michel, C., Zhang, H., Tzortzakis, S., & Delplace, P. (2017) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/119/14003 · Cited by 33 · see citing works
Classical simulation of relativistic quantum mechanics in periodic optical structuresPreprint
Longhi, S. (2011) · Cited by 47 · see citing works
Self-citationCorrelated super-Bloch oscillations
Longhi, S., & Valle, G. D. (2012) · Physical Review B · doi:10.1103/physrevb.86.075143 · Cited by 33 · see citing works
Self-citationHan, Y., Qin, C., Wang, S., Zhao, L., Liu, W., Wang, B., Longhi, S., & Lu, P. (2023) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2300860120 · Cited by 32 · see citing works
Self-citationSymmetry in optics and photonics: a group theory approach
Rodríguez-Lara, B. M., El‐Ganainy, R., & Guerrero, J. (2017) · 中国科学通报：英文版 · doi:10.1016/j.scib.2017.12.020 · Cited by 32 · see citing works
Gauge‐Induced Floquet Topological States in Photonic Waveguides
Song, W., Chen, Y., Li, H., Gao, S., Wu, S., Chen, C., Zhu, S. N., & Li, T. (2021) · Laser & Photonics Review · doi:10.1002/lpor.202000584 · Cited by 31 · see citing works
Optical induction of three-dimensional photonic lattices and enhancement of discrete diffraction
Zhang, P., Egger, R., & Chen, Z. (2009) · Optics Express · doi:10.1364/oe.17.013151 · Cited by 32 · see citing works
Power- and momentum-dependent soliton dynamics in lattices with longitudinal modulation
Papagiannis, P., Kominis, Y., & Hizanidis, K. (2011) · Physical Review A · doi:10.1103/physreva.84.013820 · Cited by 30 · see citing works
Loss Difference Induced Localization in a Non-Hermitian Honeycomb Photonic Lattice
Feng, Y., Liu, Z., Fu, L., Yu, J., Liang, S., Li, F., Zhang, Y., Xiao, M., & Zhang, Z. (2023) · Physical Review Letters · doi:10.1103/physrevlett.131.013802 · Cited by 30 · see citing works
Perfect imaging through a disordered waveguide lattice
Keil, R., Lahini, Y., Shechtman, Y., Heinrich, M., Pugatch, R., Dreisow, F., Tünnermann, A., Nolte, S., & Szameit, A. (2012) · Optics Letters · doi:10.1364/ol.37.000809 · Cited by 30 · see citing works
Kartashov, Y. V., Vysloukh, V. A., Konotop, V. V., & Torner, L. (2016) · Physical Review A · doi:10.1103/physreva.93.013841 · Cited by 29 · see citing works
Edge States in Dynamical Superlattices
Zhang, Y., Kartashov, Y. V., Li, F., Zhang, Z., Zhang, Y., Belić, M. R., & Xiao, M. (2017) · ACS Photonics · doi:10.1021/acsphotonics.7b00448 · Cited by 28 · see citing works
- Authors
- Longhi, S., Marangoni, M., Lobino, M., Ramponi, R., Laporta, P., Cianci, E., & Foglietti, V.
- Affiliations
- Istituto di Fotonica e Nanotecnologie (IT)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-06-21
- Volume
- 96
- Issue
- 24
- Pages
- 243901-243901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2033874072
- Cited by
- 357
- References
- 26
- Citations by year
- 2026: 8 · 2025: 20 · 2024: 7 · 2023: 17 · 2022: 18 · 2021: 13 · 2020: 6 · 2019: 16 · 2018: 14 · 2017: 20 · 2016: 20 · 2015: 18 · 2014: 16 · 2013: 14 · 2012: 21
- FWCI
- 18.03
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Iris (University of Trento) (submittedVersion)
- Virtual Community of Pathological Anatomy (University of Castilla La Mancha) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photorefractive and Nonlinear Optics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Keywords
- dynamical localization, lithium niobate waveguides, AC electric field, periodic potential, light localization
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