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Dynamically crossing diabolic points while encircling exceptional curves: A programmable symmetric-asymmetric multimode switch

Author

Listed:
  • Ievgen I. Arkhipov

    (Palacký University)

  • Adam Miranowicz

    (RIKEN
    Adam Mickiewicz University)

  • Fabrizio Minganti

    (Ecole Polytechnique Fédérale de Lausanne (EPFL)
    Ecole Polytechnique Fédérale de Lausanne (EPFL))

  • Şahin K. Özdemir

    (The Pennsylvania State University)

  • Franco Nori

    (RIKEN
    RIKEN
    The University of Michigan)

Abstract

Nontrivial spectral properties of non-Hermitian systems can lead to intriguing effects with no counterparts in Hermitian systems. For instance, in a two-mode photonic system, by dynamically winding around an exceptional point (EP) a controlled asymmetric-symmetric mode switching can be realized. That is, the system can either end up in one of its eigenstates, regardless of the initial eigenmode, or it can switch between the two states on demand, by simply controlling the winding direction. However, for multimode systems with higher-order EPs or multiple low-order EPs, the situation can be more involved, and the ability to control asymmetric-symmetric mode switching can be impeded, due to the breakdown of adiabaticity. Here we demonstrate that this difficulty can be overcome by winding around exceptional curves by additionally crossing diabolic points. We consider a four-mode $${{{{{{{\mathcal{PT}}}}}}}}$$ PT -symmetric bosonic system as a platform for experimental realization of such a multimode switch. Our work provides alternative routes for light manipulations in non-Hermitian photonic setups.

Suggested Citation

  • Ievgen I. Arkhipov & Adam Miranowicz & Fabrizio Minganti & Şahin K. Özdemir & Franco Nori, 2023. "Dynamically crossing diabolic points while encircling exceptional curves: A programmable symmetric-asymmetric multimode switch," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-37275-5
    DOI: 10.1038/s41467-023-37275-5
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    References listed on IDEAS

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