
1.State Key Laboratory for Artificial Microstructure and Mesoscopic Physics, School of Physics, Peking University, Beijing 100871, China
2.Frontiers Science Center for Nano-Optoelectronics, Peking University, Beijing 100871, China
3.Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, China
4.Hefei National Laboratory, Hefei 230088, China
5.Peking University Yangtze Delta Institute of Optoelectronics, Nantong 226010, China
Meng Li (mengli2016@pku.edu.cn)
Yan Li (li@pku.edu.cn)
Published:30 November 2023,
Published Online:02 November 2023,
Received:29 May 2023,
Revised:08 October 2023,
Accepted:14 October 2023
Scan QR Code
Li, M. et al. Fractal photonic anomalous Floquet topological insulators to generate multiple quantum chiral edge states. Light: Science & Applications, 12, 2498-2507 (2023).
Li, M. et al. Fractal photonic anomalous Floquet topological insulators to generate multiple quantum chiral edge states. Light: Science & Applications, 12, 2498-2507 (2023). DOI: 10.1038/s41377-023-01307-y.
Anomalous Floquet topological insulators with vanishing Chern numbers but supporting chiral edge modes are attracting more and more attention. Since the existing anomalous Floquet topological insulators usually support only one kind of chiral edge mode even at a large lattice size
they are unscalable and unapplicable for multistate topological quantum systems. Recently
fractal topological insulators with self-similarity have been explored to support more nontrivial modes. Here
we demonstrate the first experimental realization of fractal photonic anomalous Floquet topological insulators based on dual Sierpinski carpet consisting of directional couplers using the femtosecond laser direct writing. The fabricated lattices support much more kinds of chiral edge states with fewer waveguides and enable perfect hopping of quantum states with near unit transfer efficiency. Instead of zero-dimensional bound modes for quantum state transport in previous laser direct-written topological insulators
we generate multiple propagating single-photon chiral edge states in the fractal lattice and observe high-visibility quantum interferences. These suggest the successful realization of highly indistinguishable single-photon chiral edge states
which can be applied in various quantum operations. This work provides the potential for enhancing the multi-fold manipulation of quantum states
enlarging the encodable quantum information capacity in a single lattice via high-dimensional encoding and many other fractal applications.
Rudner, M. S. et al. Anomalous edge states and the bulk-edge correspondence for periodically driven two-dimensional systems.Phys. Rev. X3, 031005 (2013)..
Maczewsky, L. J. et al. Observation of photonic anomalous Floquet topological insulators.Nat. Commun.8, 13756 (2017)..
Mukherjee, S. et al. Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice.Nat. Commun.8, 13918 (2017)..
Maczewsky, L. J. et al. Fermionic time-reversal symmetry in a photonic topological insulator.Nat. Mater.19, 855–860 (2020)..
Dai, T. X. et al. Topologically protected quantum entanglement emitters.Nat. Photonics16, 248–257 (2022)..
Peng, Y. G. et al. Experimental demonstration of anomalous Floquet topological insulator for sound.Nat. Commun.7, 13368 (2016)..
Zhu, W. W. et al. Time-periodic corner states from Floquet higher-order topology.Nat. Commun.13, 11 (2022)..
Yin, S., Galiffi, E.&Alù, A. Floquet metamaterials.eLight2, 8 (2022)..
Wintersperger, K. et al. Realization of an anomalous Floquet topological system with ultracold atoms.Nat. Phys.16, 1058–1063 (2020)..
Zhang, J. Y. et al. Tuning anomalous floquet topological bands with ultracold atoms.Phys. Rev. Lett.130, 043201 (2023)..
Zhang, X. L. et al. Non-Abelian braiding on photonic chips.Nat. Photonics16, 390–395 (2022)..
Sun, Y. K. et al. Non-Abelian Thouless pumping in photonic waveguides.Nat. Phys.18, 1080–1085 (2022)..
Li, M. et al. On-chip path encoded photonic quantum Toffoli gate.Photonics Res.10, 1533–1542 (2022)..
Chen, Z.&Segev, M. Highlighting photonics: looking into the next decade.eLight1, 2(2021)..
Mukherjee, S.&Rechtsman, M. C. Observation of Floquet solitons in a topological bandgap.Science368, 856–859 (2020)..
Mukherjee, S.&Rechtsman, M. C. Observation of unidirectional solitonlike edge states in nonlinear floquet topological insulators.Phys. Rev. X11, 041057 (2021)..
Maczewsky, L. J. et al. Nonlinearity-induced photonic topological insulator.Science370, 701–704 (2020)..
Biesenthal, T. et al. Fractal photonic topological insulators.Science376, 1114–1119 (2022)..
Yang, Z. J. et al. Photonic Floquet topological insulators in a fractal lattice.Light Sci. Appl.9, 128 (2020)..
Zheng, S. J. et al. Observation of fractal higher-order topological states in acoustic metamaterials.Sci. Bull.67, 2069–2075 (2022)..
Li, J. K. et al. Higher-order topological phase in an acoustic fractal lattice.Sci. Bull.67, 2040–2044 (2022)..
Hanafi, H., Menz, P.&Denz, C. Localized states emerging from singular and nonsingular flat bands in a frustrated fractal-like photonic lattice.Adv. Opt. Mater.10, 2102523 (2022)..
Xie, Y. Q. et al. Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands.APL Photonics6, 116104 (2021)..
Xu, X. Y. et al. Quantum transport in fractal networks.Nat. Photonics15, 703–710 (2021)..
Wang, Y. et al. Topological protection of two-photon quantum correlation on a photonic chip.Optica6, 955–960 (2019)..
Wang, Y. et al. Topologically protected polarization quantum entanglement on a photonic chip.Chip1, 100003 (2022)..
Tambasco, J. L. et al. Quantum interference of topological states of light.Sci. Adv.4, eaat3187 (2018)..
Wang, Y. et al. Quantum topological boundary states in quasi-crystals.Adv. Mater.31, 1905624 (2019)..
Klauck, F., Heinrich, M.&Szameit, A. Photonic two-particle quantum walks in Su–Schrieffer–Heeger lattices.Photonics Res.9, A1–A7 (2021)..
Wang, Y. et al. Quantum superposition demonstrated higher-order topological bound states in the continuum.Light Sci. Appl.10, 173 (2021)..
Li, C. et al. Higher-order topological biphoton corner states in two-dimensional photonic lattices.Phys. Rev. Res.4, 023049 (2022)..
Bandres, M. A., Rechtsman, M. C.&Segev, M. Topological photonic quasicrystals: fractal topological spectrum and protected transport.Phys. Rev. X6, 011016 (2016)..
Politi, A. et al. Silica-on-silicon waveguide quantum circuits.Science320, 646–649 (2008)..
Hong, C. K., Ou, Z. Y.&Mandel, L. Measurement of subpicosecond time intervals between two photons by interference.Phys. Rev. Lett.59, 2044–2046 (1987)..
Li, M. et al. Femtosecond laser direct writing of integrated photonic quantum chips for generating path-encoded bell states.Micromachines11, 1111 (2020)..
0
Views
0
Downloads
0
CSCD
Publicity Resources
Related Articles
Related Author
Related Institution
京公网安备11010802024621