• 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、*
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[J]. Photonics Research, 2022, 10(12): 2901 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[J]. Photonics Research, 2022, 10(12): 2901
    Download Citation