Cited by 45Nonlinear Photonic SystemsQuantum Mechanics and Non-Hermitian PhysicsRandom lasers and scattering media

Optical Zener-Bloch oscillations in binary waveguide arrays

Open access
Longhi, S·2006·Europhysics Letters (EPL)

Abstract

Zener tunneling in a binary array of coupled optical waveguides with transverse index gradient is shown to produce a sequence of regular or irregular beam splitting and beam recombination events superimposed to Bloch oscillations. These periodic or aperiodic Zener-Bloch oscillations provide a clear and visualizable signature in an optical system of coherent multiband dynamics encountered in solid-state or matter-wave systems.

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Crossref · 10.1209/epl/i2006-10301-8

Cites

21 of 21 references verified0 citation errors · 0 not checkable

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  • For α > 0, G(β_x d) moves with constant velocity α/λ towards +β_x d during propagation.

    “Hence, G(β x d) moves for α > 0 with a constant velocity towards +β x d during the propagation, where the velocity is given by α/ - λ [35].”

    From Discrete optics in femtosecond-laser-written photonic structures (2010) · cites this paper as [35]

    The passage on spectral coefficients (section labeled Abstract; page unavailable) gives c₁,₂(z, κ) = f₁,₂(Fz/h)g(κ − Fz/h), supporting a constant shift toward positive κ during propagation. The paper uses F and κ, however, and does not establish that the cited sentence’s G(βₓd) moves at the stated velocity α/λ. (LLM, conf=0.86)

    Experimental — accuracy not yet measured
  • In binary arrays, Bloch oscillations are not damped, which significantly simplifies observation of Bloch-Zener dynamics.

    “The benefit is that the Bloch oscillations are not damped which significantly simplifies the observation of Bloch-Zener dynamics [35].”

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Cites

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Research works printed but not linked: 2

  1. Callaway J., Quantum Theory of the Solid State (Academic Press, New York) 1974, pp. 465- 478.
  2. Sukhorukov A. A., Kivshar Y. S., Eisenberg H. S. and Silberberg Y., IEEE J. Quantum Electron., 39 (2003) 31.

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Authors
Longhi, S.
Affiliations
Istituto di Fotonica e Nanotecnologie (IT)
Corresponding author
Longhi, S
Venue
Europhysics Letters (EPL)
Published
2006-11
Volume
76
Issue
3
Pages
416-421
ISSN
  • 0295-5075 (ISSN-L)
  • 1286-4854
OpenAlex
W2033357739
Cited by
45
References
21
Citations by year
2026: 3 · 2025: 2 · 2024: 3 · 2023: 2 · 2022: 2 · 2021: 2 · 2020: 2 · 2018: 1 · 2017: 1 · 2016: 4 · 2015: 5 · 2012: 3
FWCI
1.10
Type
journal article
Language
en
Open access
Locations
  • Europhysics Letters (EPL) (publishedVersion)
  • arXiv (Cornell University) (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 › Quantum Mechanics and Non-Hermitian Physics
  • Physical Sciences › Physics and Astronomy › Acoustics and Ultrasonics › Random lasers and scattering media
Keywords
Zener tunneling, Bloch oscillations, coupled optical waveguides, beam splitting, beam recombination, solid-state systems

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