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Topological edge states of interacting photon pairs emulated in a topolectrical circuit

Author

Listed:
  • Nikita A. Olekhno

    (ITMO University)

  • Egor I. Kretov

    (ITMO University)

  • Andrei A. Stepanenko

    (ITMO University)

  • Polina A. Ivanova

    (ITMO University)

  • Vitaly V. Yaroshenko

    (ITMO University)

  • Ekaterina M. Puhtina

    (ITMO University)

  • Dmitry S. Filonov

    (Moscow Institute of Physics and Technology)

  • Barbara Cappello

    (Politecnico di Torino)

  • Ladislau Matekovits

    (Politecnico di Torino)

  • Maxim A. Gorlach

    (ITMO University)

Abstract

Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light. Recent advances in topological protection of electromagnetic waves suggest that even richer functionalities can be achieved by realizing topological states of quantum light. This area, however, remains largely uncharted due to the number of experimental challenges. Here, we take an alternative route and design a classical structure based on topolectrical circuits which serves as a simulator of a quantum-optical one-dimensional system featuring the topological state of two photons induced by the effective photon-photon interaction. Employing the correspondence between the eigenstates of the original problem and circuit modes, we use the designed simulator to extract the frequencies of bulk and edge two-photon bound states and evaluate the topological invariant directly from the measurements. Furthermore, we perform a reconstruction of the two-photon probability distribution for the topological state associated with one of the circuit eigenmodes.

Suggested Citation

  • Nikita A. Olekhno & Egor I. Kretov & Andrei A. Stepanenko & Polina A. Ivanova & Vitaly V. Yaroshenko & Ekaterina M. Puhtina & Dmitry S. Filonov & Barbara Cappello & Ladislau Matekovits & Maxim A. Gorl, 2020. "Topological edge states of interacting photon pairs emulated in a topolectrical circuit," Nature Communications, Nature, vol. 11(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:11:y:2020:i:1:d:10.1038_s41467-020-14994-7
    DOI: 10.1038/s41467-020-14994-7
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    Cited by:

    1. Weixuan Zhang & Hao Yuan & Haiteng Wang & Fengxiao Di & Na Sun & Xingen Zheng & Houjun Sun & Xiangdong Zhang, 2022. "Observation of Bloch oscillations dominated by effective anyonic particle statistics," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    2. Deyuan Zou & Tian Chen & Wenjing He & Jiacheng Bao & Ching Hua Lee & Houjun Sun & Xiangdong Zhang, 2021. "Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits," Nature Communications, Nature, vol. 12(1), pages 1-11, December.
    3. Ren, Boquan & Kartashov, Yaroslav V. & Wang, Hongguang & Li, Yongdong & Zhang, Yiqi, 2023. "Floquet topological insulators with hybrid edges," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    4. Weixuan Zhang & Hao Yuan & Na Sun & Houjun Sun & Xiangdong Zhang, 2022. "Observation of novel topological states in hyperbolic lattices," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    5. Weixuan Zhang & Fengxiao Di & Xingen Zheng & Houjun Sun & Xiangdong Zhang, 2023. "Hyperbolic band topology with non-trivial second Chern numbers," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    6. Wright, E.A.P. & Yoon, S. & Mendes, J.F.F. & Goltsev, A.V., 2021. "Topological phase transition in the periodically forced Kuramoto model," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).

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