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Enhanced sensitivity at higher-order exceptional points

Author

Listed:
  • Hossein Hodaei

    (CREOL, The College of Optics and Photonics, University of Central Florida)

  • Absar U. Hassan

    (CREOL, The College of Optics and Photonics, University of Central Florida)

  • Steffen Wittek

    (CREOL, The College of Optics and Photonics, University of Central Florida)

  • Hipolito Garcia-Gracia

    (CREOL, The College of Optics and Photonics, University of Central Florida)

  • Ramy El-Ganainy

    (Michigan Technological University)

  • Demetrios N. Christodoulides

    (CREOL, The College of Optics and Photonics, University of Central Florida)

  • Mercedeh Khajavikhan

    (CREOL, The College of Optics and Photonics, University of Central Florida)

Abstract

The response of a ternary, parity–time-symmetric system that exhibits a third-order exceptional point increases as a function of the cube-root of induced perturbations.

Suggested Citation

  • Hossein Hodaei & Absar U. Hassan & Steffen Wittek & Hipolito Garcia-Gracia & Ramy El-Ganainy & Demetrios N. Christodoulides & Mercedeh Khajavikhan, 2017. "Enhanced sensitivity at higher-order exceptional points," Nature, Nature, vol. 548(7666), pages 187-191, August.
    • Handle: RePEc:nat:nature:v:548:y:2017:i:7666:d:10.1038_nature23280
    DOI: 10.1038/nature23280
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    1. Adrià Canós Valero & Hadi K. Shamkhi & Anton S. Kupriianov & Thomas Weiss & Alexander A. Pavlov & Dmitrii Redka & Vjaceslavs Bobrovs & Yuri Kivshar & Alexander S. Shalin, 2023. "Superscattering emerging from the physics of bound states in the continuum," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    2. Arunn Suntharalingam & Lucas Fernández-Alcázar & Rodion Kononchuk & Tsampikos Kottos, 2023. "Noise resilient exceptional-point voltmeters enabled by oscillation quenching phenomena," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    3. Teng Tan & Zhongye Yuan & Hao Zhang & Guofeng Yan & Siyu Zhou & Ning An & Bo Peng & Giancarlo Soavi & Yunjiang Rao & Baicheng Yao, 2021. "Multispecies and individual gas molecule detection using Stokes solitons in a graphene over-modal microresonator," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    4. Xin Zhou & Xingjing Ren & Dingbang Xiao & Jianqi Zhang & Ran Huang & Zhipeng Li & Xiaopeng Sun & Xuezhong Wu & Cheng-Wei Qiu & Franco Nori & Hui Jing, 2023. "Higher-order singularities in phase-tracked electromechanical oscillators," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    5. Steffen Wittrock & Salvatore Perna & Romain Lebrun & Katia Ho & Roberta Dutra & Ricardo Ferreira & Paolo Bortolotti & Claudio Serpico & Vincent Cros, 2024. "Non-hermiticity in spintronics: oscillation death in coupled spintronic nano-oscillators through emerging exceptional points," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    6. Minye Yang & Liang Zhu & Qi Zhong & Ramy El-Ganainy & Pai-Yen Chen, 2023. "Spectral sensitivity near exceptional points as a resource for hardware encryption," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    7. Qiuyan Zhou & Jien Wu & Zhenhang Pu & Jiuyang Lu & Xueqin Huang & Weiyin Deng & Manzhu Ke & Zhengyou Liu, 2023. "Observation of geometry-dependent skin effect in non-Hermitian phononic crystals with exceptional points," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    8. Liao, Qinghong & Song, Menglin & Bao, Weida, 2023. "Generation of second-order sideband and slow-fast light effects in a PT-symmetric optomechanical system," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    9. Djorwé, P. & Alphonse, H. & Abbagari, S. & Doka, S.Y. & Engo, S.G. Nana, 2023. "Synthetic magnetism for solitons in optomechanical array," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    10. M. Król & I. Septembre & P. Oliwa & M. Kędziora & K. Łempicka-Mirek & M. Muszyński & R. Mazur & P. Morawiak & W. Piecek & P. Kula & W. Bardyszewski & P. G. Lagoudakis & D. D. Solnyshkov & G. Malpuech , 2022. "Annihilation of exceptional points from different Dirac valleys in a 2D photonic system," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    11. Xiao Li & Yineng Liu & Zhifang Lin & Jack Ng & C. T. Chan, 2021. "Non-Hermitian physics for optical manipulation uncovers inherent instability of large clusters," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    12. Baheej Bathish & Raanan Gad & Fan Cheng & Kristoffer Karlsson & Ramgopal Madugani & Mark Douvidzon & Síle Nic Chormaic & Tal Carmon, 2023. "Absorption-induced transmission in plasma microphotonics," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    13. Chen, Lei & Huang, Feifan & Wang, Hongteng & Huang, Linwei & Huang, Junhua & Liu, Gui-Shi & Chen, Yaofei & Luo, Yunhan & Chen, Zhe, 2022. "Non-Hermitian-enhanced topological protection of chaotic dynamics in one-dimensional optomechanics lattice," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    14. Kai Zhang & Zhesen Yang & Chen Fang, 2022. "Universal non-Hermitian skin effect in two and higher dimensions," Nature Communications, Nature, vol. 13(1), pages 1-7, December.

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