IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v109y2018icp154-159.html
   My bibliography  Save this article

Quantum chaos analysis for characterizing a photonic resonator lattice

Author

Listed:
  • Behnia, S.
  • Ziaei, J.
  • Khodavirdizadeh, M.
  • Hosseinnezhad, P.
  • Rahimi, F.

Abstract

Tailoring the propagation of light in an arbitrarily manner has motivated a great of interest on nanophotonics. As a new mechanism for this purpose, the generation of an effective magnetic field leading to a Lorentz force for photons is recently proposed in a photonic resonator lattice. Here, we consider a photonic resonator lattice with a harmonically modulated phase and with an interface splitting the lattice into two magnetically different regions. Considering this lattice, we try to explore the impact of phase and the location of interface on the localization of Hamiltonian eigenstates by applying level spacing distribution as a cornerstone of random matrix theory. The obtained results show that while the location of interface has no effect on the appearance of localized states in weak phases, in strong phases it is found a threshold value for location of interface above which all eigenstates are delocalized. As a result, level spacing distribution and so random matrix theory is capable of characterizing the behavior of a photon in regions with different magnetic properties.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:109:y:2018:i:c:p:154-159
    DOI: 10.1016/j.chaos.2018.02.030
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918300894
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.02.030?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. D. Ballarini & M. De Giorgi & E. Cancellieri & R. Houdré & E. Giacobino & R. Cingolani & A. Bramati & G. Gigli & D. Sanvitto, 2013. "All-optical polariton transistor," Nature Communications, Nature, vol. 4(1), pages 1-8, June.
    2. Mattheakis, M. & Pitsios, I.J. & Tsironis, G.P. & Tzortzakis, S., 2016. "Extreme events in complex linear and nonlinear photonic media," Chaos, Solitons & Fractals, Elsevier, vol. 84(C), pages 73-80.
    3. Vilson R. Almeida & Carlos A. Barrios & Roberto R. Panepucci & Michal Lipson, 2004. "All-optical control of light on a silicon chip," Nature, Nature, vol. 431(7012), pages 1081-1084, October.
    4. Behnia, S. & Ziaei, J., 2017. "Metal-insulator transition in a disordered nanotube," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 101-108.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Joel Kuttruff & Marco Romanelli & Esteban Pedrueza-Villalmanzo & Jonas Allerbeck & Jacopo Fregoni & Valeria Saavedra-Becerril & Joakim Andréasson & Daniele Brida & Alexandre Dmitriev & Stefano Corni &, 2023. "Sub-picosecond collapse of molecular polaritons to pure molecular transition in plasmonic photoswitch-nanoantennas," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    2. 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).
    3. Kaveh, Hojjat & Salarieh, Hassan, 2020. "A new approach to extreme event prediction and mitigation via Markov-model-based chaos control," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    4. Madeleine Laitz & Alexander E. K. Kaplan & Jude Deschamps & Ulugbek Barotov & Andrew H. Proppe & Inés García-Benito & Anna Osherov & Giulia Grancini & Dane W. deQuilettes & Keith A. Nelson & Moungi G., 2023. "Uncovering temperature-dependent exciton-polariton relaxation mechanisms in hybrid organic-inorganic perovskites," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    5. 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.
    6. 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).
    7. Liangting Ye & Wenju Zhou & Dajian Huang & Xiao Jiang & Qiangbing Guo & Xinyu Cao & Shaohua Yan & Xinyu Wang & Donghan Jia & Dequan Jiang & Yonggang Wang & Xiaoqiang Wu & Xiao Zhang & Yang Li & Hechan, 2023. "Manipulation of nonlinear optical responses in layered ferroelectric niobium oxide dihalides," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    8. Tianchuang Luo & Batyr Ilyas & A. von Hoegen & Youjin Lee & Jaena Park & Je-Geun Park & Nuh Gedik, 2024. "Time-of-flight detection of terahertz phonon-polariton," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    9. 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).
    10. 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).
    11. Qi Han & Jun Wang & Shuangshuang Tian & Shen Hu & Xuefeng Wu & Rongxu Bai & Haibin Zhao & David W. Zhang & Qingqing Sun & Li Ji, 2024. "Inorganic perovskite-based active multifunctional integrated photonic devices," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    12. 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.
    13. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:109:y:2018:i:c:p:154-159. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.