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Hermitian and non-Hermitian topology from photon-mediated interactions

Author

Listed:
  • Federico Roccati

    (University of Luxembourg)

  • Miguel Bello

    (Hans-Kopfermann-Straße 1
    Schellingstraße 4)

  • Zongping Gong

    (Hans-Kopfermann-Straße 1
    Schellingstraße 4
    RIKEN
    University of Tokyo)

  • Masahito Ueda

    (The University of Tokyo
    Wako
    The University of Tokyo)

  • Francesco Ciccarello

    (Dipartimento di Fisica e Chimica-Emilio Segrè
    Piazza S. Silvestro 12)

  • Aurélia Chenu

    (University of Luxembourg)

  • Angelo Carollo

    (Dipartimento di Fisica e Chimica-Emilio Segrè)

Abstract

As light can mediate interactions between atoms in a photonic environment, engineering it for endowing the photon-mediated Hamiltonian with desired features, like robustness against disorder, is crucial in quantum research. We provide general theorems on the topology of photon-mediated interactions in terms of both Hermitian and non-Hermitian topological invariants, unveiling the phenomena of topological preservation and reversal, and revealing a system-bath topological correspondence. Depending on the Hermiticity of the environment and the parity of the spatial dimension, the atomic and photonic topological invariants turn out to be equal or opposite. Consequently, the emergence of atomic and photonic topological boundary modes with opposite group velocities in two-dimensional Hermitian topological systems is established. Owing to its general applicability, our results can guide the design of topological systems.

Suggested Citation

  • Federico Roccati & Miguel Bello & Zongping Gong & Masahito Ueda & Francesco Ciccarello & Aurélia Chenu & Angelo Carollo, 2024. "Hermitian and non-Hermitian topology from photon-mediated interactions," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-46471-w
    DOI: 10.1038/s41467-024-46471-w
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    References listed on IDEAS

    as
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