Anderson Localization and Nonlinearity in One-Dimensional Disordered Photonic Lattices
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We experimentally investigate the evolution of linear and nonlinear waves in a realization of the Anderson model using disordered one-dimensional waveguide lattices. Two types of localized eigenmodes, flat-phased and staggered, are directly measured. Nonlinear perturbations enhance localization in one type and induce delocalization in the other. In a complementary approach, we study the evolution on short time scales of delta-like wave packets in the presence of disorder. A transition from ballistic wave packet expansion to exponential (Anderson) localization is observed. We also find an intermediate regime in which the ballistic and localized components coexist while diffusive dynamics is absent. Evidence is found for a faster transition into localization under nonlinear conditions.
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Energetic disorder tends to localize the wavepacket through processes such as destructive interference or Anderson localization, thus preventing it from reaching the target.
“The first of these interpretations starts from the fact that energetic disorder tends to localize the wavepacket through processes such as destructive interference or Anderson localization222324, thus preventing it from reaching the target.”
From Enhancing coherent transport in a photonic network using controllable decoherence (2016) · cites this paper as [23]
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“…after a certain propagation length, they fill a square pattern, where the four vertices correspond to a ballistic propagation of the two photons (characteristic of a disorder-free system) [31], reaching a distance of order ± 2 CL (in waveguide number) on each side of the central waveguide [32].”
- Authors
- Lahini, Y., Avidan, A., Pozzi, F., Sorel, M., Morandotti, R., Christodoulides, D. N., & Silberberg, Y.
- Affiliations
- Weizmann Institute of Science (IL)
- University of Glasgow (GB)
- Institut National de la Recherche Scientifique (CA)
- University of Central Florida (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-01-10
- Volume
- 100
- Issue
- 1
- Pages
- 013906-013906
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1970514171
- Cited by
- 978
- References
- 39
- Citations by year
- 2026: 40 · 2025: 49 · 2024: 41 · 2023: 44 · 2022: 44 · 2021: 51 · 2020: 48 · 2019: 48 · 2018: 43 · 2017: 57 · 2016: 47 · 2015: 62 · 2014: 58 · 2013: 74 · 2012: 78
- FWCI
- 28.89
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- Journal of International Crisis and Risk Communication Research (submittedVersion)
- ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam) (submittedVersion)
- UCL Discovery (University College London) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Acoustics and Ultrasonics › Random lasers and scattering media
- 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
- Anderson localization, nonlinear waves, wave packet dynamics, Anderson localization transition, diffusive dynamics, nonlinear perturbations
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