• Photonics Research
  • Vol. 10, Issue 12, 2901 (2022)
Ze-Sheng Xu1, Jun Gao1,2,*, Govind Krishna1, Stephan Steinhauer1..., Val Zwiller1 and Ali W. Elshaari1,3,*|Show fewer author(s)
Author Affiliations
  • 1Department of Applied Physics, Royal Institute of Technology, Albanova University Centre, 106 91 Stockholm, Sweden
  • 2e-mail:
  • 3e-mail:
  • show less
    DOI: 10.1364/PRJ.474165 Cite this Article Set citation alerts
    Ze-Sheng Xu, Jun Gao, Govind Krishna, Stephan Steinhauer, Val Zwiller, Ali W. Elshaari, "Direct measurement of topological invariants in photonic superlattices," Photonics Res. 10, 2901 (2022) Copy Citation Text show less
    References

    [1] C. Johansson, J. Linde. The X-ray determination of the atomic arrangement in the mixed-crystal series gold-copper and palladium-copper. Ann. Phys., 383, 439-460(1925).

    [2] I. K. Schuller. New class of layered materials. Phys. Rev. Lett., 44, 1597-1600(1980).

    [3] A. Wacker. Semiconductor superlattices: a model system for nonlinear transport. Phys. Rep., 357, 1-111(2002).

    [4] R. V. Gorbachev, J. C. W. Song, G. L. Yu, A. V. Kretinin, F. Withers, Y. Cao, A. Mishchenko, I. V. Grigorieva, K. S. Novoselov, L. S. Levitov, A. K. Geim. Detecting topological currents in graphene superlattices. Science, 346, 448-451(2014).

    [5] T. Chalopin. Optical superlattices in quantum gas microscopy. Nat. Rev. Phys., 3, 605(2021).

    [6] J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, A. Y. Cho. Quantum cascade laser. Science, 264, 553-556(1994).

    [7] L. Lu, J. D. Joannopoulos, M. Soljacic. Topological photonics. Nat. Photonics, 8, 821-829(2014).

    [8] T. Ozawa, H. M. Price, A. Amo, N. Goldman, M. Hafezi, L. Lu, M. C. Rechtsman, D. Schuster, J. Simon, O. Zilberberg, I. Carusotto. Topological photonics. Rev. Mod. Phys., 91, 015006(2019).

    [9] D. Smirnova, D. Leykam, Y. Chong, Y. Kivshar. Nonlinear topological photonics. Appl. Phys. Rev., 7, 021306(2020).

    [10] M. Kim, Z. Jacob, J. Rho. Recent advances in 2D, 3D and higher-order topological photonics. Light Sci. Appl., 9, 130(2020).

    [11] D. T. H. Tan. Topological silicon photonics. Adv. Photonics Res., 2, 2100010(2021).

    [12] D.-W. Zhang, Y.-Q. Zhu, Y. X. Zhao, H. Yan, S.-L. Zhu. Topological quantum matter with cold atoms. Adv. Phys., 67, 253-402(2018).

    [13] Z. Wang, Y. Chong, J. D. Joannopoulos, M. Soljačić. Observation of unidirectional backscattering-immune topological electromagnetic states. Nature, 461, 772-775(2009).

    [14] J. Noh, S. Huang, K. P. Chen, M. C. Rechtsman. Observation of photonic topological valley hall edge states. Phys. Rev. Lett., 120, 063902(2018).

    [15] W. P. Su, J. R. Schrieffer, A. J. Heeger. Solitons in polyacetylene. Phys. Rev. Lett., 42, 1698-1701(1979).

    [16] M. Parto, S. Wittek, H. Hodaei, G. Harari, M. A. Bandres, J. Ren, M. C. Rechtsman, M. Segev, D. N. Christodoulides, M. Khajavikhan. Edge-mode lasing in 1D topological active arrays. Phys. Rev. Lett., 120, 113901(2018).

    [17] A. Blanco-Redondo, I. Andonegui, M. J. Collins, G. Harari, Y. Lumer, M. C. Rechtsman, B. J. Eggleton, M. Segev. Topological optical waveguiding in silicon and the transition between topological and trivial defect states. Phys. Rev. Lett., 116, 163901(2016).

    [18] E. J. Meier, F. Alex An, B. Gadway. Observation of the topological soliton state in the Su-Schrieffer-Heeger model. Nat. Commun., 7, 13986(2016).

    [19] P. St-Jean, V. Goblot, E. Galopin, A. Lemaître, T. Ozawa, L. Le Gratiet, I. Sagnes, J. Bloch, A. Amo. Lasing in topological edge states of a one-dimensional lattice. Nat. Photonics, 11, 651-656(2017).

    [20] 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).

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

    [22] S. Longhi. Probing topological phases in waveguide superlattices. Opt. Lett., 44, 2530-2533(2019).

    [23] B. Midya, L. Feng. Topological multiband photonic superlattices. Phys. Rev. A, 98, 043838(2018).

    [24] Y. Wang, Y.-H. Lu, J. Gao, Y.-J. Chang, H. Tang, X.-M. Jin. Experimental topological photonic superlattice. Phys. Rev. B, 103, 014110(2021).

    [25] M. Atala, M. Aidelsburger, J. T. Barreiro, D. Abanin, T. Kitagawa, E. Demler, I. Bloch. Direct measurement of the Zak phase in topological Bloch bands. Nat. Phys., 9, 795-800(2013).

    [26] F. Cardano, A. D’Errico, A. Dauphin, M. Maffei, B. Piccirillo, C. de Lisio, G. De Filippis, V. Cataudella, E. Santamato, L. Marrucci, M. Lewenstein, P. Massignan. Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons. Nat. Commun., 8, 15516(2017).

    [27] Y. Wang, Y.-H. Lu, F. Mei, J. Gao, Z.-M. Li, H. Tang, S.-L. Zhu, S. Jia, X.-M. Jin. Direct observation of topology from single-photon dynamics. Phys. Rev. Lett., 122, 193903(2019).

    [28] Z.-Q. Jiao, S. Longhi, X.-W. Wang, J. Gao, W.-H. Zhou, Y. Wang, Y.-X. Fu, L. Wang, R.-J. Ren, L.-F. Qiao, X.-M. Jin. Experimentally detecting quantized Zak phases without chiral symmetry in photonic lattices. Phys. Rev. Lett., 127, 147401(2021).

    [29] V. V. Ramasesh, E. Flurin, M. Rudner, I. Siddiqi, N. Y. Yao. Direct probe of topological invariants using Bloch oscillating quantum walks. Phys. Rev. Lett., 118, 130501(2017).

    [30] J. M. Zeuner, M. C. Rechtsman, Y. Plotnik, Y. Lumer, S. Nolte, M. S. Rudner, M. Segev, A. Szameit. Observation of a topological transition in the bulk of a non-Hermitian system. Phys. Rev. Lett., 115, 040402(2015).

    [31] J.-W. Wang, F. Sciarrino, A. Laing, M. G. Thompson. Integrated photonic quantum technologies. Nat. Photonics, 14, 273-284(2020).

    [32] A. W. Elshaari, W. Pernice, K. Srinivasan, O. Benson, V. Zwiller. Hybrid integrated quantum photonic circuits. Nat. Photonics, 14, 285-298(2020).

    [33] L. Chrostowski, M. Hochberg. Silicon Photonics Design: From Devices to Systems(2015).

    [34] J. Gao, Z. Xu, D. Smirnova, D. Leykam, S. Gyger, W. Zhou, S. Steinhauer, V. Zwiller, A. W. Elshaari. Observation of Anderson phase in a topological photonic circuit. Phys. Rev. Res., 4, 033222(2022).

    [35] M. Maffei, A. Dauphin, F. Cardano, M. Lewenstein, P. Massignan. Topological characterization of chiral models through their long time dynamics. New J. Phys., 20, 013023(2018).

    Ze-Sheng Xu, Jun Gao, Govind Krishna, Stephan Steinhauer, Val Zwiller, Ali W. Elshaari, "Direct measurement of topological invariants in photonic superlattices," Photonics Res. 10, 2901 (2022)
    Download Citation