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Transport and Anderson localization in disordered two-dimensional photonic lattices

Author

Listed:
  • Tal Schwartz

    (Technion—Israel Institute of Technology, Haifa 32000, Israel)

  • Guy Bartal

    (Technion—Israel Institute of Technology, Haifa 32000, Israel)

  • Shmuel Fishman

    (Technion—Israel Institute of Technology, Haifa 32000, Israel)

  • Mordechai Segev

    (Technion—Israel Institute of Technology, Haifa 32000, Israel)

Abstract

The stillness of electrons Anderson localization is one of the most interesting phenomena in solid-state physics: it predicts that an electron is immobilized when placed in a disordered lattice. Developed by Phillip Anderson in 1958 to explain how crystals stop conducting and become insulators (answer, when the density of defects in them increases), the model has been used for decades to account for electronic properties of solid-state structures. Yet true Anderson localization effects have not been observed in atomic crystals, as they tend to deviate from the model picture of a periodic potential with fluctuations frozen in time. Now new work carried out at the Haifa Technion confirms localization effects in a true Anderson lattice of a perturbed periodic potential, by using a photonic lattice on which random fluctuations are imposed. These findings raise intriguing questions about the fundamental nature of the interplay between disorder and nonlinearity.

Suggested Citation

  • Tal Schwartz & Guy Bartal & Shmuel Fishman & Mordechai Segev, 2007. "Transport and Anderson localization in disordered two-dimensional photonic lattices," Nature, Nature, vol. 446(7131), pages 52-55, March.
    • Handle: RePEc:nat:nature:v:446:y:2007:i:7131:d:10.1038_nature05623
    DOI: 10.1038/nature05623
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    Cited by:

    1. Behnia, S. & Ziaei, J. & Khodavirdizadeh, M. & Hosseinnezhad, P. & Rahimi, F., 2018. "Quantum chaos analysis for characterizing a photonic resonator lattice," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 154-159.
    2. Azriel Z. Genack & Yiming Huang & Asher Maor & Zhou Shi, 2024. "Velocities of transmission eigenchannels and diffusion," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    3. Liu, Xiuye & Zeng, Jianhua, 2023. "Matter-wave gap solitons and vortices of dense Bose–Einstein condensates in Moiré optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    4. Villegas-Martínez, B.M. & Moya-Cessa, H.M. & Soto-Eguibar, F., 2022. "Modeling displaced squeezed number states in waveguide arrays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    5. Chen, Hechong & Liu, Zihan & Lian, Shengdi & Quan, Qingying & Malomed, Boris A. & Li, Shuobo & Zhang, Yong & Li, Huagang & Deng, Dongmei, 2024. "Tunable beam splitting via photorefractive nonlinearity and its applications in chiral waveguide induction and vortex generation," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    6. Cao, Xuefei & Wang, Kaile & Yang, Song & Gao, Yuanmei & Cai, Yangjian & Wen, Zengrun, 2024. "Localization and delocalization of light in synthetic photonic lattices with hybrid Bloch-Anderson modulations," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    7. Ruotian Gong & Guanghui He & Xingyu Gao & Peng Ju & Zhongyuan Liu & Bingtian Ye & Erik A. Henriksen & Tongcang Li & Chong Zu, 2023. "Coherent dynamics of strongly interacting electronic spin defects in hexagonal boron nitride," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    8. Guillaume Ricard & Filip Novkoski & Eric Falcon, 2024. "Effects of nonlinearity on Anderson localization of surface gravity waves," Nature Communications, Nature, vol. 15(1), pages 1-8, December.

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