Photonics Research, Volume. 10, Issue 2, 574(2022)

Direct observation of zero modes in a non-Hermitian optical nanocavity array

Flore Hentinger1, Melissa Hedir1, Bruno Garbin1, Mathias Marconi2, Li Ge3,4, Fabrice Raineri1,5, Juan A. Levenson1, and Alejandro M. Yacomotti1、*
Author Affiliations
  • 1Centre de Nanosciences et de Nanotechnologies, CNRS, Université Paris-Sud, Université Paris-Saclay, 91120 Palaiseau, France
  • 2Université Côte d’Azur, Institut de Physique de Nice, CNRS-UMR 7010, Sophia Antipolis, France
  • 3Department of Physics and Astronomy, College of Staten Island, CUNY, Staten Island, New York 10314, USA
  • 4Graduate Center, CUNY, New York, New York 10016, USA
  • 5Université de Paris, 75205 Paris Cedex 13, France
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    References(31)

    [1] M. Z. Hasan, C. L. Kane. Colloquium: topological insulators. Rev. Mod. Phys., 82, 3045-3067(2010).

    [2] X.-L. Qi, S.-C. Zhang. Topological insulators and superconductors. Rev. Mod. Phys., 83, 1057-1110(2011).

    [3] J. Alicea. New directions in the pursuit of Majorana fermions in solid state systems. Rep. Prog. Phys., 75, 076501(2012).

    [4] C. Beenakker. Random-matrix theory of Majorana fermions and topological superconductors. Rev. Mod. Phys., 87, 1037-1066(2015).

    [5] C. Nayak, S. H. Simon, A. Stern, M. Freedman, S. Das Sarma. Non-Abelian anyons and topological quantum computation. Rev. Mod. Phys., 80, 1083-1159(2008).

    [6] J. D. H. Rivero, L. Ge. Chiral symmetry in non-Hermitian systems: product rule and Clifford algebra. Phys. Rev. B, 103, 014111(2021).

    [7] L. Feng, R. El-Ganainy, L. Ge. Non-Hermitian photonics based on parity–time symmetry. Nat. Photonics, 11, 752-762(2017).

    [8] L. Ge. Symmetry-protected zero-mode laser with a tunable spatial profile. Phys. Rev. A, 95, 023812(2017).

    [9] S. Malzard, C. Poli, H. Schomerus. Topologically protected defect states in open photonic systems with non-Hermitian charge-conjugation and parity-time symmetry. Phys. Rev. Lett., 115, 200402(2015).

    [10] J. D. Rivero, L. Ge. Pseudochirality: a manifestation of Noether’s theorem in non-Hermitian systems. Phys. Rev. Lett., 125, 083902(2020).

    [11] M. A. Bandres, S. Wittek, G. Harari, M. Parto, J. Ren, M. Segev, D. N. Christodoulides, M. Khajavikhan. Topological insulator laser: experiments. Science, 359, eaar4005(2018).

    [12] H. Zhao, X. Qiao, T. Wu, B. Midya, S. Longhi, L. Feng. Non-Hermitian topological light steering. Science, 365, 1163-1166(2019).

    [13] C. Poli, M. Bellec, U. Kuhl, F. Mortessagne, H. Schomerus. Selective enhancement of topologically induced interface states in a dielectric resonator chain. Nat. Commun., 6, 7710(2015).

    [14] H. Zhao, P. Miao, M. H. Teimourpour, S. Malzard, R. El-Ganainy, H. Schomerus, L. Feng. Topological hybrid silicon microlasers. Nat. Commun., 9, 981(2018).

    [15] W. Song, W. Sun, C. Chen, Q. Song, S. Xiao, S. Zhu, T. Li. Breakup and recovery of topological zero modes in finite non-Hermitian optical lattices. Phys. Rev. Lett., 123, 165701(2019).

    [16] M. Pan, H. Zhao, P. Miao, S. Longhi, L. Feng. Photonic zero mode in a non-Hermitian photonic lattice. Nat. Commun., 9, 1308(2018).

    [17] P. Hamel, S. Haddadi, F. Raineri, P. Monnier, G. Beaudoin, I. Sagnes, A. Levenson, A. M. Yacomotti. Spontaneous mirror-symmetry breaking in coupled photonic-crystal nanolasers. Nat. Photonics, 9, 311-315(2015).

    [18] S. Haddadi, P. Hamel, G. Beaudoin, I. Sagnes, C. Sauvan, P. Lalanne, J. A. Levenson, A. M. Yacomotti. Photonic molecules: tailoring the coupling strength and sign. Opt. Express, 22, 12359-12368(2014).

    [19] D. Pellegrino, P. Busi, F. Pagliano, B. Romeira, F. W. van Otten, A. Y. Silov, A. Fiore. Mode-field switching of nanolasers. APL Photon., 5, 066109(2020).

    [20] K.-H. Kim, M.-S. Hwang, H.-R. Kim, J.-H. Choi, Y.-S. No, H.-G. Park. Direct observation of exceptional points in coupled photonic-crystal lasers with asymmetric optical gains. Nat. Commun., 7, 13893(2016).

    [21] K. Takata, K. Nozaki, E. Kuramochi, S. Matsuo, K. Takeda, T. Fujii, S. Kita, A. Shinya, M. Notomi. Observing exceptional point degeneracy of radiation with electrically pumped photonic crystal coupled-nanocavity lasers. Optica, 8, 184-192(2021).

    [22] B. Qi, L. Zhang, L. Ge. Defect states emerging from a non-Hermitian flatband of photonic zero modes. Phys. Rev. Lett., 120, 093901(2018).

    [23] P. Lalanne, W. Yan, K. Vynck, C. Sauvan, J.-P. Hugonin. Light interaction with photonic and plasmonic resonances. Laser Photon. Rev., 12, 1700113(2018).

    [24] K. A. Atlasov, K. F. Karlsson, A. Rudra, B. Dwir, E. Kapon. Wavelength and loss splitting in directly coupled photonic-crystal defect microcavities. Opt. Express, 16, 16255-16264(2008).

    [25] Y. Akahane, T. Asano, B.-S. Song, S. Noda. High-Q photonic nanocavity in a two-dimensional photonic crystal. Nature, 425, 944-947(2003).

    [26] N.-V.-Q. Tran, S. Combrié, A. De Rossi. Directive emission from high-Q photonic crystal cavities through band folding. Phys. Rev. B, 79, 041101(2009).

    [27] S. Haddadi, A. M. Yacomotti, I. Sagnes, F. Raineri, G. Beaudoin, L. Le Gratiet, J. A. Levenson. Photonic crystal coupled cavities with increased beaming and free space coupling efficiency. Appl. Phys. Lett., 102, 011107(2013).

    [28] B. Garbin, J. Fatome, G.-L. Oppo, M. Erkintalo, S. G. Murdoch, S. Coen. Asymmetric balance in symmetry breaking. Phys. Rev. Res., 2, 023244(2020).

    [29] L. Ge. Parity-time symmetry in a flat-band system. Phys. Rev. A, 92, 052103(2015).

    [30] C. Tradonsky, I. Gershenzon, V. Pal, R. Chriki, A. A. Friesem, O. Raz, N. Davidson. Rapid laser solver for the phase retrieval problem. Sci. Adv., 5, eaax4530(2019).

    [31] Z. Zhang, X. Qiao, B. Midya, K. Liu, J. Sun, T. Wu, W. Liu, R. Agarwal, J. M. Jornet, S. Longhi, N. M. Litchinitser, L. Feng. Tunable topological charge vortex microlaser. Science, 368, 760-763(2020).

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    Flore Hentinger, Melissa Hedir, Bruno Garbin, Mathias Marconi, Li Ge, Fabrice Raineri, Juan A. Levenson, Alejandro M. Yacomotti, "Direct observation of zero modes in a non-Hermitian optical nanocavity array," Photonics Res. 10, 574 (2022)

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    Paper Information

    Category: Physical Optics

    Received: Aug. 11, 2021

    Accepted: Dec. 14, 2021

    Published Online: Jan. 26, 2022

    The Author Email: Alejandro M. Yacomotti (alejandro.giacomotti@c2n.upsaclay.fr)

    DOI:10.1364/PRJ.440050

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