The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
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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“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]
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“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]
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“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]
In the citing paper
“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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Citations
Cites
�ber die Quantenmechanik der Elektronen in Kristallgittern
Bloch, F. (1929) · Zeitschrift f�r Physik · doi:10.1007/bf01339455 · Cited by 3,436
Discretizing light behaviour in linear and nonlinear waveguide lattices
Christodoulides, D. N., Lederer, F., & Silberberg, Y. (2003) · Nature · doi:10.1038/nature01936 · Cited by 1,692
Grifoni, M., & Peter Hänggi, A. (1998) · Physics Reports · doi:10.1016/s0370-1573(98)00022-2 · Cited by 1,579
Bloch Oscillations of Atoms in an Optical Potential
Ben Dahan, M., Peik, E., Reichel, J., Castin, Y., & Salomon, C. (1996) · Physical Review Letters · doi:10.1103/physrevlett.76.4508 · Cited by 958
Dynamic localization of a charged particle moving under the influence of an electric field
Dunlap, D. H., & Kenkre, V. M. (1986) · Physical Review B · doi:10.1103/physrevb.34.3625 · Cited by 896
Coherent submillimeter-wave emission from Bloch oscillations in a semiconductor superlattice
Waschke, C., Roskos, H. G., Schwedler, R., Leo, K., Kurz, H., & Köhler, K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.3319 · Cited by 766
Dynamics of Band Electrons in Electric and Magnetic Fields
Wannier, G. H. (1962) · Reviews of Modern Physics · doi:10.1103/revmodphys.34.645 · Cited by 706
Self-collimating phenomena in photonic crystals
Kosaka, H., Kawashima, T., Tomita, A., Notomi, M., Tamamura, T., Sato, T., & Kawakami, S. (1999) · Applied Physics Letters · doi:10.1063/1.123502 · Cited by 691
Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations
Morandotti, R., Peschel, U., Aitchison, J. S., Eisenberg, H. S., & Silberberg, Y. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.4756 · Cited by 626
Optical Bloch Oscillations in Temperature Tuned Waveguide Arrays
Pertsch, T., Dannberg, P., Elflein, W., Bräuer, A., & Lederer, F. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.4752 · Cited by 587
Cited by
Sorted by citations
Colloquium: Atomic quantum gases in periodically driven optical lattices
Eckardt, A. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.011004 · Cited by 1,208
Lederer, F., Stegeman, G. I., Christodoulides, D. N., Assanto, G., Segev, M., & Silberberg, Y. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.04.004 · Cited by 1,180
Aspuru-Guzik, A., & Walther, P. (2012) · Nature Physics · doi:10.1038/nphys2253 · Cited by 952
Quantum-optical analogies using photonic structures
Longhi, S. (2009) · Laser & Photonics Reviews · doi:10.1002/lpor.200810055 · Cited by 718
Self-citationDynamical Control of Matter-Wave Tunneling in Periodic Potentials
Lignier, H., Sias, C., Ciampini, D., Singh, Y., Zenesini, A., Morsch, O., & Arimondo, E. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.220403 · Cited by 645
Metadata
- 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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